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Finding the Fourth Proportional to 597,864.64, 824,586.66 and 383,024.68

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Solution

The fourth proportional to 597,864.64, 824,586.66 and 383,024.68 is: 528,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,864.64 : 824,586.66 = 383,024.68 : x
  2. Step 2: Convert to fraction form
    597,864.64/824,586.66 = 383,024.68/x
  3. Step 3: Cross multiply
    597,864.64x = 824,586.66 × 383,024.68
  4. Step 4: Simplify right side
    597,864.64x = 315,837,041,578.77
  5. Step 5: Solve for x
    x = 315,837,041,578.77/597,864.64
  6. Step 6: Final answer
    x = 528,275.17

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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.