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Finding the Fourth Proportional to 506,055.96, 758,470.16 and 371,690.32

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Solution

The fourth proportional to 506,055.96, 758,470.16 and 371,690.32 is: 557,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,055.96 : 758,470.16 = 371,690.32 : x
  2. Step 2: Convert to fraction form
    506,055.96/758,470.16 = 371,690.32/x
  3. Step 3: Cross multiply
    506,055.96x = 758,470.16 × 371,690.32
  4. Step 4: Simplify right side
    506,055.96x = 281,916,016,480.85
  5. Step 5: Solve for x
    x = 281,916,016,480.85/506,055.96
  6. Step 6: Final answer
    x = 557,084.67

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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.