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Finding the Fourth Proportional to 415,882.87, 623,728.93 and 116,384.46

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Solution

The fourth proportional to 415,882.87, 623,728.93 and 116,384.46 is: 174,550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,882.87 : 623,728.93 = 116,384.46 : x
  2. Step 2: Convert to fraction form
    415,882.87/623,728.93 = 116,384.46/x
  3. Step 3: Cross multiply
    415,882.87x = 623,728.93 × 116,384.46
  4. Step 4: Simplify right side
    415,882.87x = 72,592,356,128.51
  5. Step 5: Solve for x
    x = 72,592,356,128.51/415,882.87
  6. Step 6: Final answer
    x = 174,550.00

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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.