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Finding the Fourth Proportional to 632,407.40, 946,307.10 and 466,519.40

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Solution

The fourth proportional to 632,407.40, 946,307.10 and 466,519.40 is: 698,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,407.40 : 946,307.10 = 466,519.40 : x
  2. Step 2: Convert to fraction form
    632,407.40/946,307.10 = 466,519.40/x
  3. Step 3: Cross multiply
    632,407.40x = 946,307.10 × 466,519.40
  4. Step 4: Simplify right side
    632,407.40x = 441,470,620,507.74
  5. Step 5: Solve for x
    x = 441,470,620,507.74/632,407.40
  6. Step 6: Final answer
    x = 698,079.47

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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.