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Finding the Fourth Proportional to 287,358.40, 431,037.60 and 77,017.60

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Solution

The fourth proportional to 287,358.40, 431,037.60 and 77,017.60 is: 115,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,358.40 : 431,037.60 = 77,017.60 : x
  2. Step 2: Convert to fraction form
    287,358.40/431,037.60 = 77,017.60/x
  3. Step 3: Cross multiply
    287,358.40x = 431,037.60 × 77,017.60
  4. Step 4: Simplify right side
    287,358.40x = 33,197,481,461.76
  5. Step 5: Solve for x
    x = 33,197,481,461.76/287,358.40
  6. Step 6: Final answer
    x = 115,526.40

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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.