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Finding the Fourth Proportional to 417,253.93, 625,881.35 and 150,952.05

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Solution

The fourth proportional to 417,253.93, 625,881.35 and 150,952.05 is: 226,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,253.93 : 625,881.35 = 150,952.05 : x
  2. Step 2: Convert to fraction form
    417,253.93/625,881.35 = 150,952.05/x
  3. Step 3: Cross multiply
    417,253.93x = 625,881.35 × 150,952.05
  4. Step 4: Simplify right side
    417,253.93x = 94,478,072,084.51
  5. Step 5: Solve for x
    x = 94,478,072,084.51/417,253.93
  6. Step 6: Final answer
    x = 226,428.24

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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.