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Finding the Fourth Proportional to 685,894.67, 946,862.84 and 456,833.15

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Solution

The fourth proportional to 685,894.67, 946,862.84 and 456,833.15 is: 630,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,894.67 : 946,862.84 = 456,833.15 : x
  2. Step 2: Convert to fraction form
    685,894.67/946,862.84 = 456,833.15/x
  3. Step 3: Cross multiply
    685,894.67x = 946,862.84 × 456,833.15
  4. Step 4: Simplify right side
    685,894.67x = 432,558,333,815.15
  5. Step 5: Solve for x
    x = 432,558,333,815.15/685,894.67
  6. Step 6: Final answer
    x = 630,648.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.