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Finding the Fourth Proportional to 389,347, 537,298.98 and 210,499

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Solution

The fourth proportional to 389,347, 537,298.98 and 210,499 is: 290,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,347 : 537,298.98 = 210,499 : x
  2. Step 2: Convert to fraction form
    389,347/537,298.98 = 210,499/x
  3. Step 3: Cross multiply
    389,347x = 537,298.98 × 210,499
  4. Step 4: Simplify right side
    389,347x = 113,100,897,991.02
  5. Step 5: Solve for x
    x = 113,100,897,991.02/389,347
  6. Step 6: Final answer
    x = 290,488.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.