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Finding the Fourth Proportional to 585,034.10, 877,551.15 and 407,741.30

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Solution

The fourth proportional to 585,034.10, 877,551.15 and 407,741.30 is: 611,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,034.10 : 877,551.15 = 407,741.30 : x
  2. Step 2: Convert to fraction form
    585,034.10/877,551.15 = 407,741.30/x
  3. Step 3: Cross multiply
    585,034.10x = 877,551.15 × 407,741.30
  4. Step 4: Simplify right side
    585,034.10x = 357,813,846,717.50
  5. Step 5: Solve for x
    x = 357,813,846,717.50/585,034.10
  6. Step 6: Final answer
    x = 611,611.95

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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.