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Finding the Fourth Proportional to 563,829.54, 845,656.80 and 164,428.68

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Solution

The fourth proportional to 563,829.54, 845,656.80 and 164,428.68 is: 246,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,829.54 : 845,656.80 = 164,428.68 : x
  2. Step 2: Convert to fraction form
    563,829.54/845,656.80 = 164,428.68/x
  3. Step 3: Cross multiply
    563,829.54x = 845,656.80 × 164,428.68
  4. Step 4: Simplify right side
    563,829.54x = 139,050,231,357.02
  5. Step 5: Solve for x
    x = 139,050,231,357.02/563,829.54
  6. Step 6: Final answer
    x = 246,617.50

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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.