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Finding the Fourth Proportional to 471,585.24, 649,547.51 and 362,480.67

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Solution

The fourth proportional to 471,585.24, 649,547.51 and 362,480.67 is: 499,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,585.24 : 649,547.51 = 362,480.67 : x
  2. Step 2: Convert to fraction form
    471,585.24/649,547.51 = 362,480.67/x
  3. Step 3: Cross multiply
    471,585.24x = 649,547.51 × 362,480.67
  4. Step 4: Simplify right side
    471,585.24x = 235,448,414,809.23
  5. Step 5: Solve for x
    x = 235,448,414,809.23/471,585.24
  6. Step 6: Final answer
    x = 499,270.11

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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.