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Finding the Fourth Proportional to 434,070.80, 650,069.40 and 266,109.20

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Solution

The fourth proportional to 434,070.80, 650,069.40 and 266,109.20 is: 398,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,070.80 : 650,069.40 = 266,109.20 : x
  2. Step 2: Convert to fraction form
    434,070.80/650,069.40 = 266,109.20/x
  3. Step 3: Cross multiply
    434,070.80x = 650,069.40 × 266,109.20
  4. Step 4: Simplify right side
    434,070.80x = 172,989,447,978.48
  5. Step 5: Solve for x
    x = 172,989,447,978.48/434,070.80
  6. Step 6: Final answer
    x = 398,528.18

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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.