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Finding the Fourth Proportional to 653,913.10, 980,140.65 and 254,421.10

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Solution

The fourth proportional to 653,913.10, 980,140.65 and 254,421.10 is: 381,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,913.10 : 980,140.65 = 254,421.10 : x
  2. Step 2: Convert to fraction form
    653,913.10/980,140.65 = 254,421.10/x
  3. Step 3: Cross multiply
    653,913.10x = 980,140.65 × 254,421.10
  4. Step 4: Simplify right side
    653,913.10x = 249,368,462,327.72
  5. Step 5: Solve for x
    x = 249,368,462,327.72/653,913.10
  6. Step 6: Final answer
    x = 381,348.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.