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Finding the Fourth Proportional to 230,718.34, 346,075.47 and 72,946.90

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Solution

The fourth proportional to 230,718.34, 346,075.47 and 72,946.90 is: 109,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,718.34 : 346,075.47 = 72,946.90 : x
  2. Step 2: Convert to fraction form
    230,718.34/346,075.47 = 72,946.90/x
  3. Step 3: Cross multiply
    230,718.34x = 346,075.47 × 72,946.90
  4. Step 4: Simplify right side
    230,718.34x = 25,245,132,702.54
  5. Step 5: Solve for x
    x = 25,245,132,702.54/230,718.34
  6. Step 6: Final answer
    x = 109,419.71

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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.