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Finding the Fourth Proportional to 819,196.83, 1,130,445 and 451,600.38

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Solution

The fourth proportional to 819,196.83, 1,130,445 and 451,600.38 is: 623,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,196.83 : 1,130,445 = 451,600.38 : x
  2. Step 2: Convert to fraction form
    819,196.83/1,130,445 = 451,600.38/x
  3. Step 3: Cross multiply
    819,196.83x = 1,130,445 × 451,600.38
  4. Step 4: Simplify right side
    819,196.83x = 510,509,391,569.10
  5. Step 5: Solve for x
    x = 510,509,391,569.10/819,196.83
  6. Step 6: Final answer
    x = 623,182.82

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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.