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Finding the Fourth Proportional to 537,018.72, 805,024.80 and 181,784.16

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Solution

The fourth proportional to 537,018.72, 805,024.80 and 181,784.16 is: 272,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,018.72 : 805,024.80 = 181,784.16 : x
  2. Step 2: Convert to fraction form
    537,018.72/805,024.80 = 181,784.16/x
  3. Step 3: Cross multiply
    537,018.72x = 805,024.80 × 181,784.16
  4. Step 4: Simplify right side
    537,018.72x = 146,340,757,047.17
  5. Step 5: Solve for x
    x = 146,340,757,047.17/537,018.72
  6. Step 6: Final answer
    x = 272,505.88

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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.