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Finding the Fourth Proportional to 459,278.16, 688,275.72 and 222,558

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Solution

The fourth proportional to 459,278.16, 688,275.72 and 222,558 is: 333,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,278.16 : 688,275.72 = 222,558 : x
  2. Step 2: Convert to fraction form
    459,278.16/688,275.72 = 222,558/x
  3. Step 3: Cross multiply
    459,278.16x = 688,275.72 × 222,558
  4. Step 4: Simplify right side
    459,278.16x = 153,181,267,691.76
  5. Step 5: Solve for x
    x = 153,181,267,691.76/459,278.16
  6. Step 6: Final answer
    x = 333,526.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.