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Finding the Fourth Proportional to 405,459.27, 559,484.96 and 224,146.71

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Solution

The fourth proportional to 405,459.27, 559,484.96 and 224,146.71 is: 309,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,459.27 : 559,484.96 = 224,146.71 : x
  2. Step 2: Convert to fraction form
    405,459.27/559,484.96 = 224,146.71/x
  3. Step 3: Cross multiply
    405,459.27x = 559,484.96 × 224,146.71
  4. Step 4: Simplify right side
    405,459.27x = 125,406,711,957.75
  5. Step 5: Solve for x
    x = 125,406,711,957.75/405,459.27
  6. Step 6: Final answer
    x = 309,295.46

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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.