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Finding the Fourth Proportional to 531,883.69, 797,830.96 and 152,803.46

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Solution

The fourth proportional to 531,883.69, 797,830.96 and 152,803.46 is: 229,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,883.69 : 797,830.96 = 152,803.46 : x
  2. Step 2: Convert to fraction form
    531,883.69/797,830.96 = 152,803.46/x
  3. Step 3: Cross multiply
    531,883.69x = 797,830.96 × 152,803.46
  4. Step 4: Simplify right side
    531,883.69x = 121,911,326,429.95
  5. Step 5: Solve for x
    x = 121,911,326,429.95/531,883.69
  6. Step 6: Final answer
    x = 229,206.74

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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.