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Finding the Fourth Proportional to 435,715.81, 601,275.81 and 242,118.52

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Solution

The fourth proportional to 435,715.81, 601,275.81 and 242,118.52 is: 334,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,715.81 : 601,275.81 = 242,118.52 : x
  2. Step 2: Convert to fraction form
    435,715.81/601,275.81 = 242,118.52/x
  3. Step 3: Cross multiply
    435,715.81x = 601,275.81 × 242,118.52
  4. Step 4: Simplify right side
    435,715.81x = 145,580,008,018.41
  5. Step 5: Solve for x
    x = 145,580,008,018.41/435,715.81
  6. Step 6: Final answer
    x = 334,116.88

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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.