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Finding the Fourth Proportional to 354,693.32, 532,040.58 and 284,065.16

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Solution

The fourth proportional to 354,693.32, 532,040.58 and 284,065.16 is: 426,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,693.32 : 532,040.58 = 284,065.16 : x
  2. Step 2: Convert to fraction form
    354,693.32/532,040.58 = 284,065.16/x
  3. Step 3: Cross multiply
    354,693.32x = 532,040.58 × 284,065.16
  4. Step 4: Simplify right side
    354,693.32x = 151,134,192,484.19
  5. Step 5: Solve for x
    x = 151,134,192,484.19/354,693.32
  6. Step 6: Final answer
    x = 426,098.22

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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.