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Finding the Fourth Proportional to 585,728.61, 877,589.93 and 319,675.82

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Solution

The fourth proportional to 585,728.61, 877,589.93 and 319,675.82 is: 478,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,728.61 : 877,589.93 = 319,675.82 : x
  2. Step 2: Convert to fraction form
    585,728.61/877,589.93 = 319,675.82/x
  3. Step 3: Cross multiply
    585,728.61x = 877,589.93 × 319,675.82
  4. Step 4: Simplify right side
    585,728.61x = 280,544,274,510.16
  5. Step 5: Solve for x
    x = 280,544,274,510.16/585,728.61
  6. Step 6: Final answer
    x = 478,966.32

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Why These Related Problems?

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