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Finding the Fourth Proportional to 406,000.49, 560,273.88 and 224,708.55

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Solution

The fourth proportional to 406,000.49, 560,273.88 and 224,708.55 is: 310,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,000.49 : 560,273.88 = 224,708.55 : x
  2. Step 2: Convert to fraction form
    406,000.49/560,273.88 = 224,708.55/x
  3. Step 3: Cross multiply
    406,000.49x = 560,273.88 × 224,708.55
  4. Step 4: Simplify right side
    406,000.49x = 125,898,328,655.32
  5. Step 5: Solve for x
    x = 125,898,328,655.32/406,000.49
  6. Step 6: Final answer
    x = 310,094.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.