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Finding the Fourth Proportional to 410,545.91, 566,547.99 and 229,261.02

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Solution

The fourth proportional to 410,545.91, 566,547.99 and 229,261.02 is: 316,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,545.91 : 566,547.99 = 229,261.02 : x
  2. Step 2: Convert to fraction form
    410,545.91/566,547.99 = 229,261.02/x
  3. Step 3: Cross multiply
    410,545.91x = 566,547.99 × 229,261.02
  4. Step 4: Simplify right side
    410,545.91x = 129,887,370,066.35
  5. Step 5: Solve for x
    x = 129,887,370,066.35/410,545.91
  6. Step 6: Final answer
    x = 316,377.22

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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.