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Finding the Fourth Proportional to 1,001,978.02, 1,502,999.70 and 328,097.98

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Solution

The fourth proportional to 1,001,978.02, 1,502,999.70 and 328,097.98 is: 492,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,978.02 : 1,502,999.70 = 328,097.98 : x
  2. Step 2: Convert to fraction form
    1,001,978.02/1,502,999.70 = 328,097.98/x
  3. Step 3: Cross multiply
    1,001,978.02x = 1,502,999.70 × 328,097.98
  4. Step 4: Simplify right side
    1,001,978.02x = 493,131,165,510.61
  5. Step 5: Solve for x
    x = 493,131,165,510.61/1,001,978.02
  6. Step 6: Final answer
    x = 492,157.67

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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.