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Finding the Fourth Proportional to 852,671.96, 1,176,687.51 and 470,699

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Solution

The fourth proportional to 852,671.96, 1,176,687.51 and 470,699 is: 649,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,671.96 : 1,176,687.51 = 470,699 : x
  2. Step 2: Convert to fraction form
    852,671.96/1,176,687.51 = 470,699/x
  3. Step 3: Cross multiply
    852,671.96x = 1,176,687.51 × 470,699
  4. Step 4: Simplify right side
    852,671.96x = 553,865,634,269.49
  5. Step 5: Solve for x
    x = 553,865,634,269.49/852,671.96
  6. Step 6: Final answer
    x = 649,564.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.