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Finding the Fourth Proportional to 553,452.16, 830,294.88 and 179,446

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Solution

The fourth proportional to 553,452.16, 830,294.88 and 179,446 is: 269,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,452.16 : 830,294.88 = 179,446 : x
  2. Step 2: Convert to fraction form
    553,452.16/830,294.88 = 179,446/x
  3. Step 3: Cross multiply
    553,452.16x = 830,294.88 × 179,446
  4. Step 4: Simplify right side
    553,452.16x = 148,993,095,036.48
  5. Step 5: Solve for x
    x = 148,993,095,036.48/553,452.16
  6. Step 6: Final answer
    x = 269,206.82

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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.