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Finding the Fourth Proportional to 343,818.24, 474,347.52 and 224,655.36

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Solution

The fourth proportional to 343,818.24, 474,347.52 and 224,655.36 is: 309,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,818.24 : 474,347.52 = 224,655.36 : x
  2. Step 2: Convert to fraction form
    343,818.24/474,347.52 = 224,655.36/x
  3. Step 3: Cross multiply
    343,818.24x = 474,347.52 × 224,655.36
  4. Step 4: Simplify right side
    343,818.24x = 106,564,712,870.71
  5. Step 5: Solve for x
    x = 106,564,712,870.71/343,818.24
  6. Step 6: Final answer
    x = 309,944.91

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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.