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Finding the Fourth Proportional to 413,413.62, 570,573.18 and 252,362.40

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Solution

The fourth proportional to 413,413.62, 570,573.18 and 252,362.40 is: 348,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,413.62 : 570,573.18 = 252,362.40 : x
  2. Step 2: Convert to fraction form
    413,413.62/570,573.18 = 252,362.40/x
  3. Step 3: Cross multiply
    413,413.62x = 570,573.18 × 252,362.40
  4. Step 4: Simplify right side
    413,413.62x = 143,991,217,080.43
  5. Step 5: Solve for x
    x = 143,991,217,080.43/413,413.62
  6. Step 6: Final answer
    x = 348,298.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.