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Finding the Fourth Proportional to 560,055.72, 772,808.16 and 342,373.92

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Solution

The fourth proportional to 560,055.72, 772,808.16 and 342,373.92 is: 472,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,055.72 : 772,808.16 = 342,373.92 : x
  2. Step 2: Convert to fraction form
    560,055.72/772,808.16 = 342,373.92/x
  3. Step 3: Cross multiply
    560,055.72x = 772,808.16 × 342,373.92
  4. Step 4: Simplify right side
    560,055.72x = 264,589,359,147.19
  5. Step 5: Solve for x
    x = 264,589,359,147.19/560,055.72
  6. Step 6: Final answer
    x = 472,433.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.