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Finding the Fourth Proportional to 582,223.60, 872,807.40 and 208,159.60

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Solution

The fourth proportional to 582,223.60, 872,807.40 and 208,159.60 is: 312,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,223.60 : 872,807.40 = 208,159.60 : x
  2. Step 2: Convert to fraction form
    582,223.60/872,807.40 = 208,159.60/x
  3. Step 3: Cross multiply
    582,223.60x = 872,807.40 × 208,159.60
  4. Step 4: Simplify right side
    582,223.60x = 181,683,239,261.04
  5. Step 5: Solve for x
    x = 181,683,239,261.04/582,223.60
  6. Step 6: Final answer
    x = 312,050.63

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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.