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Finding the Fourth Proportional to 356,178.52, 534,529.14 and 286,894.36

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Solution

The fourth proportional to 356,178.52, 534,529.14 and 286,894.36 is: 430,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,178.52 : 534,529.14 = 286,894.36 : x
  2. Step 2: Convert to fraction form
    356,178.52/534,529.14 = 286,894.36/x
  3. Step 3: Cross multiply
    356,178.52x = 534,529.14 × 286,894.36
  4. Step 4: Simplify right side
    356,178.52x = 153,353,395,521.65
  5. Step 5: Solve for x
    x = 153,353,395,521.65/356,178.52
  6. Step 6: Final answer
    x = 430,552.06

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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.