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Finding the Fourth Proportional to 524,934.40, 724,409.28 and 286,470.40

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Solution

The fourth proportional to 524,934.40, 724,409.28 and 286,470.40 is: 395,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,934.40 : 724,409.28 = 286,470.40 : x
  2. Step 2: Convert to fraction form
    524,934.40/724,409.28 = 286,470.40/x
  3. Step 3: Cross multiply
    524,934.40x = 724,409.28 × 286,470.40
  4. Step 4: Simplify right side
    524,934.40x = 207,521,816,205.31
  5. Step 5: Solve for x
    x = 207,521,816,205.31/524,934.40
  6. Step 6: Final answer
    x = 395,329.05

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