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Finding the Fourth Proportional to 659,853, 910,597.14 and 358,047

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Solution

The fourth proportional to 659,853, 910,597.14 and 358,047 is: 494,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,853 : 910,597.14 = 358,047 : x
  2. Step 2: Convert to fraction form
    659,853/910,597.14 = 358,047/x
  3. Step 3: Cross multiply
    659,853x = 910,597.14 × 358,047
  4. Step 4: Simplify right side
    659,853x = 326,036,574,185.58
  5. Step 5: Solve for x
    x = 326,036,574,185.58/659,853
  6. Step 6: Final answer
    x = 494,104.86

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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.