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Finding the Fourth Proportional to 458,521.65, 632,320.16 and 295,011.29

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Solution

The fourth proportional to 458,521.65, 632,320.16 and 295,011.29 is: 406,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,521.65 : 632,320.16 = 295,011.29 : x
  2. Step 2: Convert to fraction form
    458,521.65/632,320.16 = 295,011.29/x
  3. Step 3: Cross multiply
    458,521.65x = 632,320.16 × 295,011.29
  4. Step 4: Simplify right side
    458,521.65x = 186,541,581,457.95
  5. Step 5: Solve for x
    x = 186,541,581,457.95/458,521.65
  6. Step 6: Final answer
    x = 406,832.66

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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.