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Finding the Fourth Proportional to 585,260, 807,658.80 and 316,988

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Solution

The fourth proportional to 585,260, 807,658.80 and 316,988 is: 437,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,260 : 807,658.80 = 316,988 : x
  2. Step 2: Convert to fraction form
    585,260/807,658.80 = 316,988/x
  3. Step 3: Cross multiply
    585,260x = 807,658.80 × 316,988
  4. Step 4: Simplify right side
    585,260x = 256,018,147,694.40
  5. Step 5: Solve for x
    x = 256,018,147,694.40/585,260
  6. Step 6: Final answer
    x = 437,443.44

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