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Finding the Fourth Proportional to 465,718.34, 698,080.14 and 265,607.84

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Solution

The fourth proportional to 465,718.34, 698,080.14 and 265,607.84 is: 398,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,718.34 : 698,080.14 = 265,607.84 : x
  2. Step 2: Convert to fraction form
    465,718.34/698,080.14 = 265,607.84/x
  3. Step 3: Cross multiply
    465,718.34x = 698,080.14 × 265,607.84
  4. Step 4: Simplify right side
    465,718.34x = 185,415,554,641.90
  5. Step 5: Solve for x
    x = 185,415,554,641.90/465,718.34
  6. Step 6: Final answer
    x = 398,128.10

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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.