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Finding the Fourth Proportional to 4,191,978.60, 6,287,967.90 and 1,533,623.40

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Solution

The fourth proportional to 4,191,978.60, 6,287,967.90 and 1,533,623.40 is: 2,300,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,978.60 : 6,287,967.90 = 1,533,623.40 : x
  2. Step 2: Convert to fraction form
    4,191,978.60/6,287,967.90 = 1,533,623.40/x
  3. Step 3: Cross multiply
    4,191,978.60x = 6,287,967.90 × 1,533,623.40
  4. Step 4: Simplify right side
    4,191,978.60x = 9,643,374,709,888.86
  5. Step 5: Solve for x
    x = 9,643,374,709,888.86/4,191,978.60
  6. Step 6: Final answer
    x = 2,300,435.10

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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.