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Finding the Fourth Proportional to 458,965.61, 633,191.10 and 265,337.68

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Solution

The fourth proportional to 458,965.61, 633,191.10 and 265,337.68 is: 366,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,965.61 : 633,191.10 = 265,337.68 : x
  2. Step 2: Convert to fraction form
    458,965.61/633,191.10 = 265,337.68/x
  3. Step 3: Cross multiply
    458,965.61x = 633,191.10 × 265,337.68
  4. Step 4: Simplify right side
    458,965.61x = 168,009,457,470.65
  5. Step 5: Solve for x
    x = 168,009,457,470.65/458,965.61
  6. Step 6: Final answer
    x = 366,061.10

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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.