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Finding the Fourth Proportional to 406,033.50, 560,312.19 and 224,753.34

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Solution

The fourth proportional to 406,033.50, 560,312.19 and 224,753.34 is: 310,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,033.50 : 560,312.19 = 224,753.34 : x
  2. Step 2: Convert to fraction form
    406,033.50/560,312.19 = 224,753.34/x
  3. Step 3: Cross multiply
    406,033.50x = 560,312.19 × 224,753.34
  4. Step 4: Simplify right side
    406,033.50x = 125,932,036,145.22
  5. Step 5: Solve for x
    x = 125,932,036,145.22/406,033.50
  6. Step 6: Final answer
    x = 310,151.84

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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.