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Finding the Fourth Proportional to 600,766.74, 829,459.50 and 355,830.24

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Solution

The fourth proportional to 600,766.74, 829,459.50 and 355,830.24 is: 491,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,766.74 : 829,459.50 = 355,830.24 : x
  2. Step 2: Convert to fraction form
    600,766.74/829,459.50 = 355,830.24/x
  3. Step 3: Cross multiply
    600,766.74x = 829,459.50 × 355,830.24
  4. Step 4: Simplify right side
    600,766.74x = 295,146,772,955.28
  5. Step 5: Solve for x
    x = 295,146,772,955.28/600,766.74
  6. Step 6: Final answer
    x = 491,283.48

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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.