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Finding the Fourth Proportional to 415,827.07, 623,807.88 and 162,970.43

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Solution

The fourth proportional to 415,827.07, 623,807.88 and 162,970.43 is: 244,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,827.07 : 623,807.88 = 162,970.43 : x
  2. Step 2: Convert to fraction form
    415,827.07/623,807.88 = 162,970.43/x
  3. Step 3: Cross multiply
    415,827.07x = 623,807.88 × 162,970.43
  4. Step 4: Simplify right side
    415,827.07x = 101,662,239,136.44
  5. Step 5: Solve for x
    x = 101,662,239,136.44/415,827.07
  6. Step 6: Final answer
    x = 244,482.01

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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.