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Finding the Fourth Proportional to 470,851.20, 706,276.80 and 293,558.40

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Solution

The fourth proportional to 470,851.20, 706,276.80 and 293,558.40 is: 440,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,851.20 : 706,276.80 = 293,558.40 : x
  2. Step 2: Convert to fraction form
    470,851.20/706,276.80 = 293,558.40/x
  3. Step 3: Cross multiply
    470,851.20x = 706,276.80 × 293,558.40
  4. Step 4: Simplify right side
    470,851.20x = 207,333,487,365.12
  5. Step 5: Solve for x
    x = 207,333,487,365.12/470,851.20
  6. Step 6: Final answer
    x = 440,337.60

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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.