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Finding the Fourth Proportional to 471,432.53, 706,586.79 and 328,503.98

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Solution

The fourth proportional to 471,432.53, 706,586.79 and 328,503.98 is: 492,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,432.53 : 706,586.79 = 328,503.98 : x
  2. Step 2: Convert to fraction form
    471,432.53/706,586.79 = 328,503.98/x
  3. Step 3: Cross multiply
    471,432.53x = 706,586.79 × 328,503.98
  4. Step 4: Simplify right side
    471,432.53x = 232,116,572,730.42
  5. Step 5: Solve for x
    x = 232,116,572,730.42/471,432.53
  6. Step 6: Final answer
    x = 492,364.35

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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.