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Finding the Fourth Proportional to 566,647.80, 852,045.30 and 475,409.40

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Solution

The fourth proportional to 566,647.80, 852,045.30 and 475,409.40 is: 714,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,647.80 : 852,045.30 = 475,409.40 : x
  2. Step 2: Convert to fraction form
    566,647.80/852,045.30 = 475,409.40/x
  3. Step 3: Cross multiply
    566,647.80x = 852,045.30 × 475,409.40
  4. Step 4: Simplify right side
    566,647.80x = 405,070,344,845.82
  5. Step 5: Solve for x
    x = 405,070,344,845.82/566,647.80
  6. Step 6: Final answer
    x = 714,853.82

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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.