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Finding the Fourth Proportional to 470,730.24, 706,794.24 and 462,332.16

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Solution

The fourth proportional to 470,730.24, 706,794.24 and 462,332.16 is: 694,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,730.24 : 706,794.24 = 462,332.16 : x
  2. Step 2: Convert to fraction form
    470,730.24/706,794.24 = 462,332.16/x
  3. Step 3: Cross multiply
    470,730.24x = 706,794.24 × 462,332.16
  4. Step 4: Simplify right side
    470,730.24x = 326,773,707,654.76
  5. Step 5: Solve for x
    x = 326,773,707,654.76/470,730.24
  6. Step 6: Final answer
    x = 694,184.65

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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.