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Finding the Fourth Proportional to 511,792.88, 706,045.95 and 296,808.35

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Solution

The fourth proportional to 511,792.88, 706,045.95 and 296,808.35 is: 409,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,792.88 : 706,045.95 = 296,808.35 : x
  2. Step 2: Convert to fraction form
    511,792.88/706,045.95 = 296,808.35/x
  3. Step 3: Cross multiply
    511,792.88x = 706,045.95 × 296,808.35
  4. Step 4: Simplify right side
    511,792.88x = 209,560,329,913.45
  5. Step 5: Solve for x
    x = 209,560,329,913.45/511,792.88
  6. Step 6: Final answer
    x = 409,463.16

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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.