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Finding the Fourth Proportional to 346,483, 519,724.50 and 83,827

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Solution

The fourth proportional to 346,483, 519,724.50 and 83,827 is: 125,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,483 : 519,724.50 = 83,827 : x
  2. Step 2: Convert to fraction form
    346,483/519,724.50 = 83,827/x
  3. Step 3: Cross multiply
    346,483x = 519,724.50 × 83,827
  4. Step 4: Simplify right side
    346,483x = 43,566,945,661.50
  5. Step 5: Solve for x
    x = 43,566,945,661.50/346,483
  6. Step 6: Final answer
    x = 125,740.50

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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.