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Finding the Fourth Proportional to 1,565,271.10, 2,197,678.10 and 1,565,271.10

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Solution

The fourth proportional to 1,565,271.10, 2,197,678.10 and 1,565,271.10 is: 2,197,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,271.10 : 2,197,678.10 = 1,565,271.10 : x
  2. Step 2: Convert to fraction form
    1,565,271.10/2,197,678.10 = 1,565,271.10/x
  3. Step 3: Cross multiply
    1,565,271.10x = 2,197,678.10 × 1,565,271.10
  4. Step 4: Simplify right side
    1,565,271.10x = 3,439,962,017,032.91
  5. Step 5: Solve for x
    x = 3,439,962,017,032.91/1,565,271.10
  6. Step 6: Final answer
    x = 2,197,678.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.