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Finding the Fourth Proportional to 316,780.28, 475,326.54 and 148,312.01

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Solution

The fourth proportional to 316,780.28, 475,326.54 and 148,312.01 is: 222,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,780.28 : 475,326.54 = 148,312.01 : x
  2. Step 2: Convert to fraction form
    316,780.28/475,326.54 = 148,312.01/x
  3. Step 3: Cross multiply
    316,780.28x = 475,326.54 × 148,312.01
  4. Step 4: Simplify right side
    316,780.28x = 70,496,634,553.75
  5. Step 5: Solve for x
    x = 70,496,634,553.75/316,780.28
  6. Step 6: Final answer
    x = 222,541.11

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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.