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Finding the Fourth Proportional to 566,717.54, 782,070.13 and 312,068.10

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Solution

The fourth proportional to 566,717.54, 782,070.13 and 312,068.10 is: 430,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,717.54 : 782,070.13 = 312,068.10 : x
  2. Step 2: Convert to fraction form
    566,717.54/782,070.13 = 312,068.10/x
  3. Step 3: Cross multiply
    566,717.54x = 782,070.13 × 312,068.10
  4. Step 4: Simplify right side
    566,717.54x = 244,059,139,535.85
  5. Step 5: Solve for x
    x = 244,059,139,535.85/566,717.54
  6. Step 6: Final answer
    x = 430,653.94

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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.