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Finding the Fourth Proportional to 711,506, 982,111.56 and 510,885.20

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Solution

The fourth proportional to 711,506, 982,111.56 and 510,885.20 is: 705,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,506 : 982,111.56 = 510,885.20 : x
  2. Step 2: Convert to fraction form
    711,506/982,111.56 = 510,885.20/x
  3. Step 3: Cross multiply
    711,506x = 982,111.56 × 510,885.20
  4. Step 4: Simplify right side
    711,506x = 501,746,260,752.91
  5. Step 5: Solve for x
    x = 501,746,260,752.91/711,506
  6. Step 6: Final answer
    x = 705,189.08

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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.