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Finding the Fourth Proportional to 514,874.84, 710,527.23 and 285,431.54

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Solution

The fourth proportional to 514,874.84, 710,527.23 and 285,431.54 is: 393,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,874.84 : 710,527.23 = 285,431.54 : x
  2. Step 2: Convert to fraction form
    514,874.84/710,527.23 = 285,431.54/x
  3. Step 3: Cross multiply
    514,874.84x = 710,527.23 × 285,431.54
  4. Step 4: Simplify right side
    514,874.84x = 202,806,881,653.04
  5. Step 5: Solve for x
    x = 202,806,881,653.04/514,874.84
  6. Step 6: Final answer
    x = 393,895.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.