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Finding the Fourth Proportional to 511,153.10, 705,394.13 and 296,420.61

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Solution

The fourth proportional to 511,153.10, 705,394.13 and 296,420.61 is: 409,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,153.10 : 705,394.13 = 296,420.61 : x
  2. Step 2: Convert to fraction form
    511,153.10/705,394.13 = 296,420.61/x
  3. Step 3: Cross multiply
    511,153.10x = 705,394.13 × 296,420.61
  4. Step 4: Simplify right side
    511,153.10x = 209,093,358,305.02
  5. Step 5: Solve for x
    x = 209,093,358,305.02/511,153.10
  6. Step 6: Final answer
    x = 409,062.10

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1.5x scale

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.