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Finding the Fourth Proportional to 585,533.50, 808,036.80 and 317,261.50

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Solution

The fourth proportional to 585,533.50, 808,036.80 and 317,261.50 is: 437,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,533.50 : 808,036.80 = 317,261.50 : x
  2. Step 2: Convert to fraction form
    585,533.50/808,036.80 = 317,261.50/x
  3. Step 3: Cross multiply
    585,533.50x = 808,036.80 × 317,261.50
  4. Step 4: Simplify right side
    585,533.50x = 256,358,967,223.20
  5. Step 5: Solve for x
    x = 256,358,967,223.20/585,533.50
  6. Step 6: Final answer
    x = 437,821.18

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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.