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Finding the Fourth Proportional to 415,356.00, 623,033.93 and 99,812.91

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Solution

The fourth proportional to 415,356.00, 623,033.93 and 99,812.91 is: 149,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,356.00 : 623,033.93 = 99,812.91 : x
  2. Step 2: Convert to fraction form
    415,356.00/623,033.93 = 99,812.91/x
  3. Step 3: Cross multiply
    415,356.00x = 623,033.93 × 99,812.91
  4. Step 4: Simplify right side
    415,356.00x = 62,186,828,733.56
  5. Step 5: Solve for x
    x = 62,186,828,733.56/415,356.00
  6. Step 6: Final answer
    x = 149,719.35

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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.