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Finding the Fourth Proportional to 584,742.64, 806,938.52 and 342,978.80

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Solution

The fourth proportional to 584,742.64, 806,938.52 and 342,978.80 is: 473,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,742.64 : 806,938.52 = 342,978.80 : x
  2. Step 2: Convert to fraction form
    584,742.64/806,938.52 = 342,978.80/x
  3. Step 3: Cross multiply
    584,742.64x = 806,938.52 × 342,978.80
  4. Step 4: Simplify right side
    584,742.64x = 276,762,805,263.38
  5. Step 5: Solve for x
    x = 276,762,805,263.38/584,742.64
  6. Step 6: Final answer
    x = 473,307.04

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1.5x scale

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.