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Finding the Fourth Proportional to 553,670.30, 829,123.05 and 365,663.90

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Solution

The fourth proportional to 553,670.30, 829,123.05 and 365,663.90 is: 547,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,670.30 : 829,123.05 = 365,663.90 : x
  2. Step 2: Convert to fraction form
    553,670.30/829,123.05 = 365,663.90/x
  3. Step 3: Cross multiply
    553,670.30x = 829,123.05 × 365,663.90
  4. Step 4: Simplify right side
    553,670.30x = 303,180,368,042.90
  5. Step 5: Solve for x
    x = 303,180,368,042.90/553,670.30
  6. Step 6: Final answer
    x = 547,582.86

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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.