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Finding the Fourth Proportional to 538,632.84, 807,700.86 and 159,417.98

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Solution

The fourth proportional to 538,632.84, 807,700.86 and 159,417.98 is: 239,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,632.84 : 807,700.86 = 159,417.98 : x
  2. Step 2: Convert to fraction form
    538,632.84/807,700.86 = 159,417.98/x
  3. Step 3: Cross multiply
    538,632.84x = 807,700.86 × 159,417.98
  4. Step 4: Simplify right side
    538,632.84x = 128,762,039,545.46
  5. Step 5: Solve for x
    x = 128,762,039,545.46/538,632.84
  6. Step 6: Final answer
    x = 239,053.45

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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.