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Finding the Fourth Proportional to 325,533.53, 489,050.66 and 312,081.66

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Solution

The fourth proportional to 325,533.53, 489,050.66 and 312,081.66 is: 468,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,533.53 : 489,050.66 = 312,081.66 : x
  2. Step 2: Convert to fraction form
    325,533.53/489,050.66 = 312,081.66/x
  3. Step 3: Cross multiply
    325,533.53x = 489,050.66 × 312,081.66
  4. Step 4: Simplify right side
    325,533.53x = 152,623,742,577.10
  5. Step 5: Solve for x
    x = 152,623,742,577.10/325,533.53
  6. Step 6: Final answer
    x = 468,841.85

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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.