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Finding the Fourth Proportional to 876,386, 1,209,412.68 and 473,978

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Solution

The fourth proportional to 876,386, 1,209,412.68 and 473,978 is: 654,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,386 : 1,209,412.68 = 473,978 : x
  2. Step 2: Convert to fraction form
    876,386/1,209,412.68 = 473,978/x
  3. Step 3: Cross multiply
    876,386x = 1,209,412.68 × 473,978
  4. Step 4: Simplify right side
    876,386x = 573,235,003,241.04
  5. Step 5: Solve for x
    x = 573,235,003,241.04/876,386
  6. Step 6: Final answer
    x = 654,089.64

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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.