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Finding the Fourth Proportional to 431,333.41, 595,284.40 and 259,307.07

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Solution

The fourth proportional to 431,333.41, 595,284.40 and 259,307.07 is: 357,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,333.41 : 595,284.40 = 259,307.07 : x
  2. Step 2: Convert to fraction form
    431,333.41/595,284.40 = 259,307.07/x
  3. Step 3: Cross multiply
    431,333.41x = 595,284.40 × 259,307.07
  4. Step 4: Simplify right side
    431,333.41x = 154,361,451,672.53
  5. Step 5: Solve for x
    x = 154,361,451,672.53/431,333.41
  6. Step 6: Final answer
    x = 357,870.38

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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.