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Finding the Fourth Proportional to 525,304.40, 787,726.20 and 209,656.40

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Solution

The fourth proportional to 525,304.40, 787,726.20 and 209,656.40 is: 314,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,304.40 : 787,726.20 = 209,656.40 : x
  2. Step 2: Convert to fraction form
    525,304.40/787,726.20 = 209,656.40/x
  3. Step 3: Cross multiply
    525,304.40x = 787,726.20 × 209,656.40
  4. Step 4: Simplify right side
    525,304.40x = 165,151,839,277.68
  5. Step 5: Solve for x
    x = 165,151,839,277.68/525,304.40
  6. Step 6: Final answer
    x = 314,392.64

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1.5x scale

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.