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Finding the Fourth Proportional to 713,728.61, 1,070,253.92 and 414,300.98

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Solution

The fourth proportional to 713,728.61, 1,070,253.92 and 414,300.98 is: 621,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,728.61 : 1,070,253.92 = 414,300.98 : x
  2. Step 2: Convert to fraction form
    713,728.61/1,070,253.92 = 414,300.98/x
  3. Step 3: Cross multiply
    713,728.61x = 1,070,253.92 × 414,300.98
  4. Step 4: Simplify right side
    713,728.61x = 443,407,248,940.59
  5. Step 5: Solve for x
    x = 443,407,248,940.59/713,728.61
  6. Step 6: Final answer
    x = 621,254.69

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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.