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Finding the Fourth Proportional to 651,645.30, 977,030.55 and 314,847.30

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Solution

The fourth proportional to 651,645.30, 977,030.55 and 314,847.30 is: 472,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,645.30 : 977,030.55 = 314,847.30 : x
  2. Step 2: Convert to fraction form
    651,645.30/977,030.55 = 314,847.30/x
  3. Step 3: Cross multiply
    651,645.30x = 977,030.55 × 314,847.30
  4. Step 4: Simplify right side
    651,645.30x = 307,615,430,685.02
  5. Step 5: Solve for x
    x = 307,615,430,685.02/651,645.30
  6. Step 6: Final answer
    x = 472,059.62

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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.