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Finding the Fourth Proportional to 598,416.40, 896,069.40 and 472,963.60

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Solution

The fourth proportional to 598,416.40, 896,069.40 and 472,963.60 is: 708,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,416.40 : 896,069.40 = 472,963.60 : x
  2. Step 2: Convert to fraction form
    598,416.40/896,069.40 = 472,963.60/x
  3. Step 3: Cross multiply
    598,416.40x = 896,069.40 × 472,963.60
  4. Step 4: Simplify right side
    598,416.40x = 423,808,209,273.84
  5. Step 5: Solve for x
    x = 423,808,209,273.84/598,416.40
  6. Step 6: Final answer
    x = 708,216.23

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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.