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Finding the Fourth Proportional to 4,602,645.02, 6,904,244.32 and 1,407,798.87

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Solution

The fourth proportional to 4,602,645.02, 6,904,244.32 and 1,407,798.87 is: 2,111,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,645.02 : 6,904,244.32 = 1,407,798.87 : x
  2. Step 2: Convert to fraction form
    4,602,645.02/6,904,244.32 = 1,407,798.87/x
  3. Step 3: Cross multiply
    4,602,645.02x = 6,904,244.32 × 1,407,798.87
  4. Step 4: Simplify right side
    4,602,645.02x = 9,719,787,351,899.92
  5. Step 5: Solve for x
    x = 9,719,787,351,899.92/4,602,645.02
  6. Step 6: Final answer
    x = 2,111,782.97

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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.