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Finding the Fourth Proportional to 511,412.13, 706,051.47 and 454,666.77

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Solution

The fourth proportional to 511,412.13, 706,051.47 and 454,666.77 is: 627,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,412.13 : 706,051.47 = 454,666.77 : x
  2. Step 2: Convert to fraction form
    511,412.13/706,051.47 = 454,666.77/x
  3. Step 3: Cross multiply
    511,412.13x = 706,051.47 × 454,666.77
  4. Step 4: Simplify right side
    511,412.13x = 321,018,141,318.65
  5. Step 5: Solve for x
    x = 321,018,141,318.65/511,412.13
  6. Step 6: Final answer
    x = 627,709.28

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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.