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Finding the Fourth Proportional to 4,602,583.56, 6,902,767.80 and 1,407,737.28

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Solution

The fourth proportional to 4,602,583.56, 6,902,767.80 and 1,407,737.28 is: 2,111,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,583.56 : 6,902,767.80 = 1,407,737.28 : x
  2. Step 2: Convert to fraction form
    4,602,583.56/6,902,767.80 = 1,407,737.28/x
  3. Step 3: Cross multiply
    4,602,583.56x = 6,902,767.80 × 1,407,737.28
  4. Step 4: Simplify right side
    4,602,583.56x = 9,717,283,567,243.58
  5. Step 5: Solve for x
    x = 9,717,283,567,243.58/4,602,583.56
  6. Step 6: Final answer
    x = 2,111,267.17

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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.