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Finding the Fourth Proportional to 502,180.64, 753,386.88 and 147,222.08

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Solution

The fourth proportional to 502,180.64, 753,386.88 and 147,222.08 is: 220,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,180.64 : 753,386.88 = 147,222.08 : x
  2. Step 2: Convert to fraction form
    502,180.64/753,386.88 = 147,222.08/x
  3. Step 3: Cross multiply
    502,180.64x = 753,386.88 × 147,222.08
  4. Step 4: Simplify right side
    502,180.64x = 110,915,183,518.31
  5. Step 5: Solve for x
    x = 110,915,183,518.31/502,180.64
  6. Step 6: Final answer
    x = 220,867.10

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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.