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Finding the Fourth Proportional to 468,894.07, 702,495.46 and 288,665.83

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Solution

The fourth proportional to 468,894.07, 702,495.46 and 288,665.83 is: 432,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,894.07 : 702,495.46 = 288,665.83 : x
  2. Step 2: Convert to fraction form
    468,894.07/702,495.46 = 288,665.83/x
  3. Step 3: Cross multiply
    468,894.07x = 702,495.46 × 288,665.83
  4. Step 4: Simplify right side
    468,894.07x = 202,786,435,032.13
  5. Step 5: Solve for x
    x = 202,786,435,032.13/468,894.07
  6. Step 6: Final answer
    x = 432,478.14

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1.5x scale

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.