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Finding the Fourth Proportional to 375,335.50, 517,966.64 and 224,432.50

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Solution

The fourth proportional to 375,335.50, 517,966.64 and 224,432.50 is: 309,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,335.50 : 517,966.64 = 224,432.50 : x
  2. Step 2: Convert to fraction form
    375,335.50/517,966.64 = 224,432.50/x
  3. Step 3: Cross multiply
    375,335.50x = 517,966.64 × 224,432.50
  4. Step 4: Simplify right side
    375,335.50x = 116,248,547,931.80
  5. Step 5: Solve for x
    x = 116,248,547,931.80/375,335.50
  6. Step 6: Final answer
    x = 309,719.03

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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.