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Finding the Fourth Proportional to 564,078.16, 846,175.60 and 190,130.32

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Solution

The fourth proportional to 564,078.16, 846,175.60 and 190,130.32 is: 285,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,078.16 : 846,175.60 = 190,130.32 : x
  2. Step 2: Convert to fraction form
    564,078.16/846,175.60 = 190,130.32/x
  3. Step 3: Cross multiply
    564,078.16x = 846,175.60 × 190,130.32
  4. Step 4: Simplify right side
    564,078.16x = 160,883,637,604.19
  5. Step 5: Solve for x
    x = 160,883,637,604.19/564,078.16
  6. Step 6: Final answer
    x = 285,215.15

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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.