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Finding the Fourth Proportional to 470,698.64, 706,041.90 and 115,715.72

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Solution

The fourth proportional to 470,698.64, 706,041.90 and 115,715.72 is: 173,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,698.64 : 706,041.90 = 115,715.72 : x
  2. Step 2: Convert to fraction form
    470,698.64/706,041.90 = 115,715.72/x
  3. Step 3: Cross multiply
    470,698.64x = 706,041.90 × 115,715.72
  4. Step 4: Simplify right side
    470,698.64x = 81,700,146,808.67
  5. Step 5: Solve for x
    x = 81,700,146,808.67/470,698.64
  6. Step 6: Final answer
    x = 173,572.09

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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.