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Finding the Fourth Proportional to 469,389.33, 704,320.92 and 185,283.45

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Solution

The fourth proportional to 469,389.33, 704,320.92 and 185,283.45 is: 278,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,389.33 : 704,320.92 = 185,283.45 : x
  2. Step 2: Convert to fraction form
    469,389.33/704,320.92 = 185,283.45/x
  3. Step 3: Cross multiply
    469,389.33x = 704,320.92 × 185,283.45
  4. Step 4: Simplify right side
    469,389.33x = 130,499,009,964.77
  5. Step 5: Solve for x
    x = 130,499,009,964.77/469,389.33
  6. Step 6: Final answer
    x = 278,018.70

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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.