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Finding the Fourth Proportional to 4,723,678.32, 7,086,641.76 and 1,528,804.50

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Solution

The fourth proportional to 4,723,678.32, 7,086,641.76 and 1,528,804.50 is: 2,293,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,678.32 : 7,086,641.76 = 1,528,804.50 : x
  2. Step 2: Convert to fraction form
    4,723,678.32/7,086,641.76 = 1,528,804.50/x
  3. Step 3: Cross multiply
    4,723,678.32x = 7,086,641.76 × 1,528,804.50
  4. Step 4: Simplify right side
    4,723,678.32x = 10,834,089,812,575.92
  5. Step 5: Solve for x
    x = 10,834,089,812,575.92/4,723,678.32
  6. Step 6: Final answer
    x = 2,293,570.62

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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.