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Finding the Fourth Proportional to 340,605.40, 510,908.10 and 288,117.40

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Solution

The fourth proportional to 340,605.40, 510,908.10 and 288,117.40 is: 432,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,605.40 : 510,908.10 = 288,117.40 : x
  2. Step 2: Convert to fraction form
    340,605.40/510,908.10 = 288,117.40/x
  3. Step 3: Cross multiply
    340,605.40x = 510,908.10 × 288,117.40
  4. Step 4: Simplify right side
    340,605.40x = 147,201,513,410.94
  5. Step 5: Solve for x
    x = 147,201,513,410.94/340,605.40
  6. Step 6: Final answer
    x = 432,176.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.