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Finding the Fourth Proportional to 700,365.12, 966,503.04 and 413,988.48

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Solution

The fourth proportional to 700,365.12, 966,503.04 and 413,988.48 is: 571,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,365.12 : 966,503.04 = 413,988.48 : x
  2. Step 2: Convert to fraction form
    700,365.12/966,503.04 = 413,988.48/x
  3. Step 3: Cross multiply
    700,365.12x = 966,503.04 × 413,988.48
  4. Step 4: Simplify right side
    700,365.12x = 400,121,124,444.98
  5. Step 5: Solve for x
    x = 400,121,124,444.98/700,365.12
  6. Step 6: Final answer
    x = 571,303.61

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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.