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Finding the Fourth Proportional to 522,714.69, 721,342.94 and 290,139.12

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Solution

The fourth proportional to 522,714.69, 721,342.94 and 290,139.12 is: 400,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,714.69 : 721,342.94 = 290,139.12 : x
  2. Step 2: Convert to fraction form
    522,714.69/721,342.94 = 290,139.12/x
  3. Step 3: Cross multiply
    522,714.69x = 721,342.94 × 290,139.12
  4. Step 4: Simplify right side
    522,714.69x = 209,289,804,379.12
  5. Step 5: Solve for x
    x = 209,289,804,379.12/522,714.69
  6. Step 6: Final answer
    x = 400,390.13

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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.