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Finding the Fourth Proportional to 417,657.32, 626,345.58 and 151,362.08

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Solution

The fourth proportional to 417,657.32, 626,345.58 and 151,362.08 is: 226,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,657.32 : 626,345.58 = 151,362.08 : x
  2. Step 2: Convert to fraction form
    417,657.32/626,345.58 = 151,362.08/x
  3. Step 3: Cross multiply
    417,657.32x = 626,345.58 × 151,362.08
  4. Step 4: Simplify right side
    417,657.32x = 94,804,969,787.61
  5. Step 5: Solve for x
    x = 94,804,969,787.61/417,657.32
  6. Step 6: Final answer
    x = 226,992.24

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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.