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Finding the Fourth Proportional to 545,074.40, 753,055.84 and 416,463

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Solution

The fourth proportional to 545,074.40, 753,055.84 and 416,463 is: 575,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,074.40 : 753,055.84 = 416,463 : x
  2. Step 2: Convert to fraction form
    545,074.40/753,055.84 = 416,463/x
  3. Step 3: Cross multiply
    545,074.40x = 753,055.84 × 416,463
  4. Step 4: Simplify right side
    545,074.40x = 313,619,893,252.76
  5. Step 5: Solve for x
    x = 313,619,893,252.76/545,074.40
  6. Step 6: Final answer
    x = 575,370.80

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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.