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Finding the Fourth Proportional to 470,116.71, 705,199.67 and 357,972.82

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Solution

The fourth proportional to 470,116.71, 705,199.67 and 357,972.82 is: 536,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,116.71 : 705,199.67 = 357,972.82 : x
  2. Step 2: Convert to fraction form
    470,116.71/705,199.67 = 357,972.82/x
  3. Step 3: Cross multiply
    470,116.71x = 705,199.67 × 357,972.82
  4. Step 4: Simplify right side
    470,116.71x = 252,442,312,322.50
  5. Step 5: Solve for x
    x = 252,442,312,322.50/470,116.71
  6. Step 6: Final answer
    x = 536,977.96

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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.