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Finding the Fourth Proportional to 416,006.20, 624,009.30 and 346,886.20

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Solution

The fourth proportional to 416,006.20, 624,009.30 and 346,886.20 is: 520,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,006.20 : 624,009.30 = 346,886.20 : x
  2. Step 2: Convert to fraction form
    416,006.20/624,009.30 = 346,886.20/x
  3. Step 3: Cross multiply
    416,006.20x = 624,009.30 × 346,886.20
  4. Step 4: Simplify right side
    416,006.20x = 216,460,214,841.66
  5. Step 5: Solve for x
    x = 216,460,214,841.66/416,006.20
  6. Step 6: Final answer
    x = 520,329.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.