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Finding the Fourth Proportional to 419,227.90, 578,347.58 and 283,218.10

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Solution

The fourth proportional to 419,227.90, 578,347.58 and 283,218.10 is: 390,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,227.90 : 578,347.58 = 283,218.10 : x
  2. Step 2: Convert to fraction form
    419,227.90/578,347.58 = 283,218.10/x
  3. Step 3: Cross multiply
    419,227.90x = 578,347.58 × 283,218.10
  4. Step 4: Simplify right side
    419,227.90x = 163,798,502,009.37
  5. Step 5: Solve for x
    x = 163,798,502,009.37/419,227.90
  6. Step 6: Final answer
    x = 390,714.70

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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.