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Finding the Fourth Proportional to 520,085.10, 780,127.65 and 460,598.70

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Solution

The fourth proportional to 520,085.10, 780,127.65 and 460,598.70 is: 690,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085.10 : 780,127.65 = 460,598.70 : x
  2. Step 2: Convert to fraction form
    520,085.10/780,127.65 = 460,598.70/x
  3. Step 3: Cross multiply
    520,085.10x = 780,127.65 × 460,598.70
  4. Step 4: Simplify right side
    520,085.10x = 359,325,781,424.06
  5. Step 5: Solve for x
    x = 359,325,781,424.06/520,085.10
  6. Step 6: Final answer
    x = 690,898.05

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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.