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Finding the Fourth Proportional to 473,065.04, 708,981.48 and 192,254

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Solution

The fourth proportional to 473,065.04, 708,981.48 and 192,254 is: 288,130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,065.04 : 708,981.48 = 192,254 : x
  2. Step 2: Convert to fraction form
    473,065.04/708,981.48 = 192,254/x
  3. Step 3: Cross multiply
    473,065.04x = 708,981.48 × 192,254
  4. Step 4: Simplify right side
    473,065.04x = 136,304,525,455.92
  5. Step 5: Solve for x
    x = 136,304,525,455.92/473,065.04
  6. Step 6: Final answer
    x = 288,130.62

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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.