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Finding the Fourth Proportional to 700,261.32, 966,306.02 and 413,727.08

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Solution

The fourth proportional to 700,261.32, 966,306.02 and 413,727.08 is: 570,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,261.32 : 966,306.02 = 413,727.08 : x
  2. Step 2: Convert to fraction form
    700,261.32/966,306.02 = 413,727.08/x
  3. Step 3: Cross multiply
    700,261.32x = 966,306.02 × 413,727.08
  4. Step 4: Simplify right side
    700,261.32x = 399,786,968,041.02
  5. Step 5: Solve for x
    x = 399,786,968,041.02/700,261.32
  6. Step 6: Final answer
    x = 570,911.11

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1.5x scale

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.