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Finding the Fourth Proportional to 397,534.88, 596,430.96 and 117,053.60

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Solution

The fourth proportional to 397,534.88, 596,430.96 and 117,053.60 is: 175,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,534.88 : 596,430.96 = 117,053.60 : x
  2. Step 2: Convert to fraction form
    397,534.88/596,430.96 = 117,053.60/x
  3. Step 3: Cross multiply
    397,534.88x = 596,430.96 × 117,053.60
  4. Step 4: Simplify right side
    397,534.88x = 69,814,391,019.46
  5. Step 5: Solve for x
    x = 69,814,391,019.46/397,534.88
  6. Step 6: Final answer
    x = 175,618.28

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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.