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Finding the Fourth Proportional to 514,587.52, 709,595.40 and 406,987.12

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Solution

The fourth proportional to 514,587.52, 709,595.40 and 406,987.12 is: 561,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,587.52 : 709,595.40 = 406,987.12 : x
  2. Step 2: Convert to fraction form
    514,587.52/709,595.40 = 406,987.12/x
  3. Step 3: Cross multiply
    514,587.52x = 709,595.40 × 406,987.12
  4. Step 4: Simplify right side
    514,587.52x = 288,796,188,211.25
  5. Step 5: Solve for x
    x = 288,796,188,211.25/514,587.52
  6. Step 6: Final answer
    x = 561,218.80

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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.