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Finding the Fourth Proportional to 514,078.09, 709,067.16 and 358,770.10

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Solution

The fourth proportional to 514,078.09, 709,067.16 and 358,770.10 is: 494,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,078.09 : 709,067.16 = 358,770.10 : x
  2. Step 2: Convert to fraction form
    514,078.09/709,067.16 = 358,770.10/x
  3. Step 3: Cross multiply
    514,078.09x = 709,067.16 × 358,770.10
  4. Step 4: Simplify right side
    514,078.09x = 254,392,095,899.92
  5. Step 5: Solve for x
    x = 254,392,095,899.92/514,078.09
  6. Step 6: Final answer
    x = 494,851.08

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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.