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Finding the Fourth Proportional to 400,803.84, 553,209.12 and 231,140.16

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Solution

The fourth proportional to 400,803.84, 553,209.12 and 231,140.16 is: 319,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,803.84 : 553,209.12 = 231,140.16 : x
  2. Step 2: Convert to fraction form
    400,803.84/553,209.12 = 231,140.16/x
  3. Step 3: Cross multiply
    400,803.84x = 553,209.12 × 231,140.16
  4. Step 4: Simplify right side
    400,803.84x = 127,868,844,510.26
  5. Step 5: Solve for x
    x = 127,868,844,510.26/400,803.84
  6. Step 6: Final answer
    x = 319,030.99

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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.