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Finding the Fourth Proportional to 553,071.70, 829,423.02 and 216,024.92

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Solution

The fourth proportional to 553,071.70, 829,423.02 and 216,024.92 is: 323,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,071.70 : 829,423.02 = 216,024.92 : x
  2. Step 2: Convert to fraction form
    553,071.70/829,423.02 = 216,024.92/x
  3. Step 3: Cross multiply
    553,071.70x = 829,423.02 × 216,024.92
  4. Step 4: Simplify right side
    553,071.70x = 179,176,041,541.66
  5. Step 5: Solve for x
    x = 179,176,041,541.66/553,071.70
  6. Step 6: Final answer
    x = 323,965.30

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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.