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Finding the Fourth Proportional to 585,576, 808,094.88 and 317,304

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Solution

The fourth proportional to 585,576, 808,094.88 and 317,304 is: 437,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,576 : 808,094.88 = 317,304 : x
  2. Step 2: Convert to fraction form
    585,576/808,094.88 = 317,304/x
  3. Step 3: Cross multiply
    585,576x = 808,094.88 × 317,304
  4. Step 4: Simplify right side
    585,576x = 256,411,737,803.52
  5. Step 5: Solve for x
    x = 256,411,737,803.52/585,576
  6. Step 6: Final answer
    x = 437,879.52

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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.