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Finding the Fourth Proportional to 559,178.64, 838,795.59 and 159,878.16

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Solution

The fourth proportional to 559,178.64, 838,795.59 and 159,878.16 is: 239,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,178.64 : 838,795.59 = 159,878.16 : x
  2. Step 2: Convert to fraction form
    559,178.64/838,795.59 = 159,878.16/x
  3. Step 3: Cross multiply
    559,178.64x = 838,795.59 × 159,878.16
  4. Step 4: Simplify right side
    559,178.64x = 134,105,095,545.31
  5. Step 5: Solve for x
    x = 134,105,095,545.31/559,178.64
  6. Step 6: Final answer
    x = 239,825.14

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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.