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Finding the Fourth Proportional to 546,966.12, 754,851.08 and 305,295.86

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Solution

The fourth proportional to 546,966.12, 754,851.08 and 305,295.86 is: 421,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,966.12 : 754,851.08 = 305,295.86 : x
  2. Step 2: Convert to fraction form
    546,966.12/754,851.08 = 305,295.86/x
  3. Step 3: Cross multiply
    546,966.12x = 754,851.08 × 305,295.86
  4. Step 4: Simplify right side
    546,966.12x = 230,452,909,640.53
  5. Step 5: Solve for x
    x = 230,452,909,640.53/546,966.12
  6. Step 6: Final answer
    x = 421,329.40

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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.