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Finding the Fourth Proportional to 514,816.77, 710,451.90 and 285,376.53

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Solution

The fourth proportional to 514,816.77, 710,451.90 and 285,376.53 is: 393,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,816.77 : 710,451.90 = 285,376.53 : x
  2. Step 2: Convert to fraction form
    514,816.77/710,451.90 = 285,376.53/x
  3. Step 3: Cross multiply
    514,816.77x = 710,451.90 × 285,376.53
  4. Step 4: Simplify right side
    514,816.77x = 202,746,297,953.91
  5. Step 5: Solve for x
    x = 202,746,297,953.91/514,816.77
  6. Step 6: Final answer
    x = 393,822.25

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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.