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Finding the Fourth Proportional to 255,005.60, 382,508.40 and 144,413.60

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Solution

The fourth proportional to 255,005.60, 382,508.40 and 144,413.60 is: 216,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,005.60 : 382,508.40 = 144,413.60 : x
  2. Step 2: Convert to fraction form
    255,005.60/382,508.40 = 144,413.60/x
  3. Step 3: Cross multiply
    255,005.60x = 382,508.40 × 144,413.60
  4. Step 4: Simplify right side
    255,005.60x = 55,239,415,074.24
  5. Step 5: Solve for x
    x = 55,239,415,074.24/255,005.60
  6. Step 6: Final answer
    x = 216,620.40

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1.5x scale

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.