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Finding the Fourth Proportional to 654,369.10, 980,824.65 and 254,877.10

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Solution

The fourth proportional to 654,369.10, 980,824.65 and 254,877.10 is: 382,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,369.10 : 980,824.65 = 254,877.10 : x
  2. Step 2: Convert to fraction form
    654,369.10/980,824.65 = 254,877.10/x
  3. Step 3: Cross multiply
    654,369.10x = 980,824.65 × 254,877.10
  4. Step 4: Simplify right side
    654,369.10x = 249,989,742,400.52
  5. Step 5: Solve for x
    x = 249,989,742,400.52/654,369.10
  6. Step 6: Final answer
    x = 382,031.70

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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.