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Finding the Fourth Proportional to 456,307.50, 684,461.25 and 123,883.50

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Solution

The fourth proportional to 456,307.50, 684,461.25 and 123,883.50 is: 185,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,307.50 : 684,461.25 = 123,883.50 : x
  2. Step 2: Convert to fraction form
    456,307.50/684,461.25 = 123,883.50/x
  3. Step 3: Cross multiply
    456,307.50x = 684,461.25 × 123,883.50
  4. Step 4: Simplify right side
    456,307.50x = 84,793,455,264.38
  5. Step 5: Solve for x
    x = 84,793,455,264.38/456,307.50
  6. Step 6: Final answer
    x = 185,825.25

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Similar ratio
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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.