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Finding the Fourth Proportional to 5,189,430.12, 7,784,888.06 and 1,595,498.83

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Solution

The fourth proportional to 5,189,430.12, 7,784,888.06 and 1,595,498.83 is: 2,393,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,430.12 : 7,784,888.06 = 1,595,498.83 : x
  2. Step 2: Convert to fraction form
    5,189,430.12/7,784,888.06 = 1,595,498.83/x
  3. Step 3: Cross multiply
    5,189,430.12x = 7,784,888.06 × 1,595,498.83
  4. Step 4: Simplify right side
    5,189,430.12x = 12,420,779,775,937.50
  5. Step 5: Solve for x
    x = 12,420,779,775,937.50/5,189,430.12
  6. Step 6: Final answer
    x = 2,393,476.64

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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.