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Finding the Fourth Proportional to 367,689.32, 507,397.86 and 224,688.68

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Solution

The fourth proportional to 367,689.32, 507,397.86 and 224,688.68 is: 310,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,689.32 : 507,397.86 = 224,688.68 : x
  2. Step 2: Convert to fraction form
    367,689.32/507,397.86 = 224,688.68/x
  3. Step 3: Cross multiply
    367,689.32x = 507,397.86 × 224,688.68
  4. Step 4: Simplify right side
    367,689.32x = 114,006,555,398.23
  5. Step 5: Solve for x
    x = 114,006,555,398.23/367,689.32
  6. Step 6: Final answer
    x = 310,062.19

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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.