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Finding the Fourth Proportional to 575,364, 794,342.50 and 511,525.08

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Solution

The fourth proportional to 575,364, 794,342.50 and 511,525.08 is: 706,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,364 : 794,342.50 = 511,525.08 : x
  2. Step 2: Convert to fraction form
    575,364/794,342.50 = 511,525.08/x
  3. Step 3: Cross multiply
    575,364x = 794,342.50 × 511,525.08
  4. Step 4: Simplify right side
    575,364x = 406,326,110,859.90
  5. Step 5: Solve for x
    x = 406,326,110,859.90/575,364
  6. Step 6: Final answer
    x = 706,207.05

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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.