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Finding the Fourth Proportional to 406,135, 560,388.50 and 262,875.16

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Solution

The fourth proportional to 406,135, 560,388.50 and 262,875.16 is: 362,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,135 : 560,388.50 = 262,875.16 : x
  2. Step 2: Convert to fraction form
    406,135/560,388.50 = 262,875.16/x
  3. Step 3: Cross multiply
    406,135x = 560,388.50 × 262,875.16
  4. Step 4: Simplify right side
    406,135x = 147,312,216,599.66
  5. Step 5: Solve for x
    x = 147,312,216,599.66/406,135
  6. Step 6: Final answer
    x = 362,717.36

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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.