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Finding the Fourth Proportional to 3,153,798.64, 4,732,978.92 and 1,261,068.40

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Solution

The fourth proportional to 3,153,798.64, 4,732,978.92 and 1,261,068.40 is: 1,892,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153,798.64 : 4,732,978.92 = 1,261,068.40 : x
  2. Step 2: Convert to fraction form
    3,153,798.64/4,732,978.92 = 1,261,068.40/x
  3. Step 3: Cross multiply
    3,153,798.64x = 4,732,978.92 × 1,261,068.40
  4. Step 4: Simplify right side
    3,153,798.64x = 5,968,610,153,878.13
  5. Step 5: Solve for x
    x = 5,968,610,153,878.13/3,153,798.64
  6. Step 6: Final answer
    x = 1,892,514.66

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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.