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Finding the Fourth Proportional to 342,417.60, 513,681.12 and 105,704.64

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Solution

The fourth proportional to 342,417.60, 513,681.12 and 105,704.64 is: 158,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,417.60 : 513,681.12 = 105,704.64 : x
  2. Step 2: Convert to fraction form
    342,417.60/513,681.12 = 105,704.64/x
  3. Step 3: Cross multiply
    342,417.60x = 513,681.12 × 105,704.64
  4. Step 4: Simplify right side
    342,417.60x = 54,298,477,864.40
  5. Step 5: Solve for x
    x = 54,298,477,864.40/342,417.60
  6. Step 6: Final answer
    x = 158,573.85

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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.