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Finding the Fourth Proportional to 700,101.40, 966,152.24 and 413,620.80

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Solution

The fourth proportional to 700,101.40, 966,152.24 and 413,620.80 is: 570,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,101.40 : 966,152.24 = 413,620.80 : x
  2. Step 2: Convert to fraction form
    700,101.40/966,152.24 = 413,620.80/x
  3. Step 3: Cross multiply
    700,101.40x = 966,152.24 × 413,620.80
  4. Step 4: Simplify right side
    700,101.40x = 399,620,662,430.59
  5. Step 5: Solve for x
    x = 399,620,662,430.59/700,101.40
  6. Step 6: Final answer
    x = 570,803.98

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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.