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Finding the Fourth Proportional to 567,063.59, 782,547.33 and 312,414.77

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Solution

The fourth proportional to 567,063.59, 782,547.33 and 312,414.77 is: 431,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,063.59 : 782,547.33 = 312,414.77 : x
  2. Step 2: Convert to fraction form
    567,063.59/782,547.33 = 312,414.77/x
  3. Step 3: Cross multiply
    567,063.59x = 782,547.33 × 312,414.77
  4. Step 4: Simplify right side
    567,063.59x = 244,479,345,486.66
  5. Step 5: Solve for x
    x = 244,479,345,486.66/567,063.59
  6. Step 6: Final answer
    x = 431,132.16

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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.