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Finding the Fourth Proportional to 523,653.04, 785,463.88 and 144,597

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Solution

The fourth proportional to 523,653.04, 785,463.88 and 144,597 is: 216,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,653.04 : 785,463.88 = 144,597 : x
  2. Step 2: Convert to fraction form
    523,653.04/785,463.88 = 144,597/x
  3. Step 3: Cross multiply
    523,653.04x = 785,463.88 × 144,597
  4. Step 4: Simplify right side
    523,653.04x = 113,575,720,656.36
  5. Step 5: Solve for x
    x = 113,575,720,656.36/523,653.04
  6. Step 6: Final answer
    x = 216,891.17

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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.