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Finding the Fourth Proportional to 469,502.84, 703,052.21 and 258,907.16

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Solution

The fourth proportional to 469,502.84, 703,052.21 and 258,907.16 is: 387,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,502.84 : 703,052.21 = 258,907.16 : x
  2. Step 2: Convert to fraction form
    469,502.84/703,052.21 = 258,907.16/x
  3. Step 3: Cross multiply
    469,502.84x = 703,052.21 × 258,907.16
  4. Step 4: Simplify right side
    469,502.84x = 182,025,248,154.83
  5. Step 5: Solve for x
    x = 182,025,248,154.83/469,502.84
  6. Step 6: Final answer
    x = 387,697.87

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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.