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Finding the Fourth Proportional to 287,548.74, 431,323.02 and 77,186.64

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Solution

The fourth proportional to 287,548.74, 431,323.02 and 77,186.64 is: 115,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,548.74 : 431,323.02 = 77,186.64 : x
  2. Step 2: Convert to fraction form
    287,548.74/431,323.02 = 77,186.64/x
  3. Step 3: Cross multiply
    287,548.74x = 431,323.02 × 77,186.64
  4. Step 4: Simplify right side
    287,548.74x = 33,292,374,668.45
  5. Step 5: Solve for x
    x = 33,292,374,668.45/287,548.74
  6. Step 6: Final answer
    x = 115,779.94

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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.