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Finding the Fourth Proportional to 511,010.34, 705,038.16 and 296,108.88

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Solution

The fourth proportional to 511,010.34, 705,038.16 and 296,108.88 is: 408,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,010.34 : 705,038.16 = 296,108.88 : x
  2. Step 2: Convert to fraction form
    511,010.34/705,038.16 = 296,108.88/x
  3. Step 3: Cross multiply
    511,010.34x = 705,038.16 × 296,108.88
  4. Step 4: Simplify right side
    511,010.34x = 208,768,059,914.86
  5. Step 5: Solve for x
    x = 208,768,059,914.86/511,010.34
  6. Step 6: Final answer
    x = 408,539.80

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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.