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Finding the Fourth Proportional to 232,465, 348,697.50 and 57,361

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Solution

The fourth proportional to 232,465, 348,697.50 and 57,361 is: 86,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,465 : 348,697.50 = 57,361 : x
  2. Step 2: Convert to fraction form
    232,465/348,697.50 = 57,361/x
  3. Step 3: Cross multiply
    232,465x = 348,697.50 × 57,361
  4. Step 4: Simplify right side
    232,465x = 20,001,637,297.50
  5. Step 5: Solve for x
    x = 20,001,637,297.50/232,465
  6. Step 6: Final answer
    x = 86,041.50

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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.