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Finding the Fourth Proportional to 462,348.36, 693,552.80 and 142,461

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Solution

The fourth proportional to 462,348.36, 693,552.80 and 142,461 is: 213,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,348.36 : 693,552.80 = 142,461 : x
  2. Step 2: Convert to fraction form
    462,348.36/693,552.80 = 142,461/x
  3. Step 3: Cross multiply
    462,348.36x = 693,552.80 × 142,461
  4. Step 4: Simplify right side
    462,348.36x = 98,804,225,440.80
  5. Step 5: Solve for x
    x = 98,804,225,440.80/462,348.36
  6. Step 6: Final answer
    x = 213,700.82

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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.