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Finding the Fourth Proportional to 867,710, 1,302,406.70 and 418,746.84

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Solution

The fourth proportional to 867,710, 1,302,406.70 and 418,746.84 is: 628,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,710 : 1,302,406.70 = 418,746.84 : x
  2. Step 2: Convert to fraction form
    867,710/1,302,406.70 = 418,746.84/x
  3. Step 3: Cross multiply
    867,710x = 1,302,406.70 × 418,746.84
  4. Step 4: Simplify right side
    867,710x = 545,378,690,019.83
  5. Step 5: Solve for x
    x = 545,378,690,019.83/867,710
  6. Step 6: Final answer
    x = 628,526.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.