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Finding the Fourth Proportional to 4,602,646.65, 6,904,246.76 and 1,407,800.50

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Solution

The fourth proportional to 4,602,646.65, 6,904,246.76 and 1,407,800.50 is: 2,111,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,646.65 : 6,904,246.76 = 1,407,800.50 : x
  2. Step 2: Convert to fraction form
    4,602,646.65/6,904,246.76 = 1,407,800.50/x
  3. Step 3: Cross multiply
    4,602,646.65x = 6,904,246.76 × 1,407,800.50
  4. Step 4: Simplify right side
    4,602,646.65x = 9,719,802,040,851.38
  5. Step 5: Solve for x
    x = 9,719,802,040,851.38/4,602,646.65
  6. Step 6: Final answer
    x = 2,111,785.41

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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.