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Finding the Fourth Proportional to 852,672.96, 1,176,688.90 and 470,700

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Solution

The fourth proportional to 852,672.96, 1,176,688.90 and 470,700 is: 649,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,672.96 : 1,176,688.90 = 470,700 : x
  2. Step 2: Convert to fraction form
    852,672.96/1,176,688.90 = 470,700/x
  3. Step 3: Cross multiply
    852,672.96x = 1,176,688.90 × 470,700
  4. Step 4: Simplify right side
    852,672.96x = 553,867,465,230
  5. Step 5: Solve for x
    x = 553,867,465,230/852,672.96
  6. Step 6: Final answer
    x = 649,566.12

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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.