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Finding the Fourth Proportional to 978,280.80, 1,465,088.40 and 978,280.80

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Solution

The fourth proportional to 978,280.80, 1,465,088.40 and 978,280.80 is: 1,465,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,280.80 : 1,465,088.40 = 978,280.80 : x
  2. Step 2: Convert to fraction form
    978,280.80/1,465,088.40 = 978,280.80/x
  3. Step 3: Cross multiply
    978,280.80x = 1,465,088.40 × 978,280.80
  4. Step 4: Simplify right side
    978,280.80x = 1,433,267,852,022.72
  5. Step 5: Solve for x
    x = 1,433,267,852,022.72/978,280.80
  6. Step 6: Final answer
    x = 1,465,088.40

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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.