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Finding the Fourth Proportional to 584,728.81, 806,925.86 and 316,456.81

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Solution

The fourth proportional to 584,728.81, 806,925.86 and 316,456.81 is: 436,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,728.81 : 806,925.86 = 316,456.81 : x
  2. Step 2: Convert to fraction form
    584,728.81/806,925.86 = 316,456.81/x
  3. Step 3: Cross multiply
    584,728.81x = 806,925.86 × 316,456.81
  4. Step 4: Simplify right side
    584,728.81x = 255,357,183,562.11
  5. Step 5: Solve for x
    x = 255,357,183,562.11/584,728.81
  6. Step 6: Final answer
    x = 436,710.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.