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Finding the Fourth Proportional to 406,030.50, 560,308.05 and 224,750.34

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Solution

The fourth proportional to 406,030.50, 560,308.05 and 224,750.34 is: 310,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,030.50 : 560,308.05 = 224,750.34 : x
  2. Step 2: Convert to fraction form
    406,030.50/560,308.05 = 224,750.34/x
  3. Step 3: Cross multiply
    406,030.50x = 560,308.05 × 224,750.34
  4. Step 4: Simplify right side
    406,030.50x = 125,929,424,742.24
  5. Step 5: Solve for x
    x = 125,929,424,742.24/406,030.50
  6. Step 6: Final answer
    x = 310,147.70

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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.