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Finding the Fourth Proportional to 341,175, 511,762.50 and 119,559

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Solution

The fourth proportional to 341,175, 511,762.50 and 119,559 is: 179,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,175 : 511,762.50 = 119,559 : x
  2. Step 2: Convert to fraction form
    341,175/511,762.50 = 119,559/x
  3. Step 3: Cross multiply
    341,175x = 511,762.50 × 119,559
  4. Step 4: Simplify right side
    341,175x = 61,185,812,737.50
  5. Step 5: Solve for x
    x = 61,185,812,737.50/341,175
  6. Step 6: Final answer
    x = 179,338.50

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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.