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Finding the Fourth Proportional to 546,119.55, 819,543.72 and 191,133.61

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Solution

The fourth proportional to 546,119.55, 819,543.72 and 191,133.61 is: 286,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,119.55 : 819,543.72 = 191,133.61 : x
  2. Step 2: Convert to fraction form
    546,119.55/819,543.72 = 191,133.61/x
  3. Step 3: Cross multiply
    546,119.55x = 819,543.72 × 191,133.61
  4. Step 4: Simplify right side
    546,119.55x = 156,642,348,424.32
  5. Step 5: Solve for x
    x = 156,642,348,424.32/546,119.55
  6. Step 6: Final answer
    x = 286,827.95

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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.