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Finding the Fourth Proportional to 340,465.80, 510,698.70 and 103,808.10

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Solution

The fourth proportional to 340,465.80, 510,698.70 and 103,808.10 is: 155,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,465.80 : 510,698.70 = 103,808.10 : x
  2. Step 2: Convert to fraction form
    340,465.80/510,698.70 = 103,808.10/x
  3. Step 3: Cross multiply
    340,465.80x = 510,698.70 × 103,808.10
  4. Step 4: Simplify right side
    340,465.80x = 53,014,661,719.47
  5. Step 5: Solve for x
    x = 53,014,661,719.47/340,465.80
  6. Step 6: Final answer
    x = 155,712.15

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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.