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Finding the Fourth Proportional to 833,244.86, 1,149,901.53 and 470,684

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Solution

The fourth proportional to 833,244.86, 1,149,901.53 and 470,684 is: 649,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,244.86 : 1,149,901.53 = 470,684 : x
  2. Step 2: Convert to fraction form
    833,244.86/1,149,901.53 = 470,684/x
  3. Step 3: Cross multiply
    833,244.86x = 1,149,901.53 × 470,684
  4. Step 4: Simplify right side
    833,244.86x = 541,240,251,746.52
  5. Step 5: Solve for x
    x = 541,240,251,746.52/833,244.86
  6. Step 6: Final answer
    x = 649,557.26

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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.