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Finding the Fourth Proportional to 531,483.76, 797,062.13 and 152,302.84

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Solution

The fourth proportional to 531,483.76, 797,062.13 and 152,302.84 is: 228,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,483.76 : 797,062.13 = 152,302.84 : x
  2. Step 2: Convert to fraction form
    531,483.76/797,062.13 = 152,302.84/x
  3. Step 3: Cross multiply
    531,483.76x = 797,062.13 × 152,302.84
  4. Step 4: Simplify right side
    531,483.76x = 121,394,825,293.94
  5. Step 5: Solve for x
    x = 121,394,825,293.94/531,483.76
  6. Step 6: Final answer
    x = 228,407.40

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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.