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Finding the Fourth Proportional to 535,853.40, 803,488.10 and 161,827.80

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Solution

The fourth proportional to 535,853.40, 803,488.10 and 161,827.80 is: 242,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,853.40 : 803,488.10 = 161,827.80 : x
  2. Step 2: Convert to fraction form
    535,853.40/803,488.10 = 161,827.80/x
  3. Step 3: Cross multiply
    535,853.40x = 803,488.10 × 161,827.80
  4. Step 4: Simplify right side
    535,853.40x = 130,026,711,549.18
  5. Step 5: Solve for x
    x = 130,026,711,549.18/535,853.40
  6. Step 6: Final answer
    x = 242,653.52

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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.