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Finding the Fourth Proportional to 4,602,647.65, 6,904,248.26 and 1,407,801.50

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Solution

The fourth proportional to 4,602,647.65, 6,904,248.26 and 1,407,801.50 is: 2,111,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,647.65 : 6,904,248.26 = 1,407,801.50 : x
  2. Step 2: Convert to fraction form
    4,602,647.65/6,904,248.26 = 1,407,801.50/x
  3. Step 3: Cross multiply
    4,602,647.65x = 6,904,248.26 × 1,407,801.50
  4. Step 4: Simplify right side
    4,602,647.65x = 9,719,811,056,800.39
  5. Step 5: Solve for x
    x = 9,719,811,056,800.39/4,602,647.65
  6. Step 6: Final answer
    x = 2,111,786.91

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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.