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Finding the Fourth Proportional to 4,597,662.40, 6,897,066.16 and 1,564,795.20

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Solution

The fourth proportional to 4,597,662.40, 6,897,066.16 and 1,564,795.20 is: 2,347,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,662.40 : 6,897,066.16 = 1,564,795.20 : x
  2. Step 2: Convert to fraction form
    4,597,662.40/6,897,066.16 = 1,564,795.20/x
  3. Step 3: Cross multiply
    4,597,662.40x = 6,897,066.16 × 1,564,795.20
  4. Step 4: Simplify right side
    4,597,662.40x = 10,792,496,021,250.43
  5. Step 5: Solve for x
    x = 10,792,496,021,250.43/4,597,662.40
  6. Step 6: Final answer
    x = 2,347,387.67

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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.