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Finding the Fourth Proportional to 546,417.80, 819,130.49 and 191,238.06

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Solution

The fourth proportional to 546,417.80, 819,130.49 and 191,238.06 is: 286,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,417.80 : 819,130.49 = 191,238.06 : x
  2. Step 2: Convert to fraction form
    546,417.80/819,130.49 = 191,238.06/x
  3. Step 3: Cross multiply
    546,417.80x = 819,130.49 × 191,238.06
  4. Step 4: Simplify right side
    546,417.80x = 156,648,924,838.26
  5. Step 5: Solve for x
    x = 156,648,924,838.26/546,417.80
  6. Step 6: Final answer
    x = 286,683.42

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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.