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Finding the Fourth Proportional to 560,284, 840,433.32 and 186,307

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Solution

The fourth proportional to 560,284, 840,433.32 and 186,307 is: 279,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,284 : 840,433.32 = 186,307 : x
  2. Step 2: Convert to fraction form
    560,284/840,433.32 = 186,307/x
  3. Step 3: Cross multiply
    560,284x = 840,433.32 × 186,307
  4. Step 4: Simplify right side
    560,284x = 156,578,610,549.24
  5. Step 5: Solve for x
    x = 156,578,610,549.24/560,284
  6. Step 6: Final answer
    x = 279,462.93

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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.