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Finding the Fourth Proportional to 475,496.83, 656,252.85 and 294,267.16

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Solution

The fourth proportional to 475,496.83, 656,252.85 and 294,267.16 is: 406,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,496.83 : 656,252.85 = 294,267.16 : x
  2. Step 2: Convert to fraction form
    475,496.83/656,252.85 = 294,267.16/x
  3. Step 3: Cross multiply
    475,496.83x = 656,252.85 × 294,267.16
  4. Step 4: Simplify right side
    475,496.83x = 193,113,662,411.41
  5. Step 5: Solve for x
    x = 193,113,662,411.41/475,496.83
  6. Step 6: Final answer
    x = 406,130.28

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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.