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Finding the Fourth Proportional to 546,594.16, 819,628.80 and 309,873.28

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Solution

The fourth proportional to 546,594.16, 819,628.80 and 309,873.28 is: 464,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,594.16 : 819,628.80 = 309,873.28 : x
  2. Step 2: Convert to fraction form
    546,594.16/819,628.80 = 309,873.28/x
  3. Step 3: Cross multiply
    546,594.16x = 819,628.80 × 309,873.28
  4. Step 4: Simplify right side
    546,594.16x = 253,981,064,638.46
  5. Step 5: Solve for x
    x = 253,981,064,638.46/546,594.16
  6. Step 6: Final answer
    x = 464,661.14

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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.