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Finding the Fourth Proportional to 780,030, 1,170,045 and 189,054

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Solution

The fourth proportional to 780,030, 1,170,045 and 189,054 is: 283,581

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,030 : 1,170,045 = 189,054 : x
  2. Step 2: Convert to fraction form
    780,030/1,170,045 = 189,054/x
  3. Step 3: Cross multiply
    780,030x = 1,170,045 × 189,054
  4. Step 4: Simplify right side
    780,030x = 221,201,687,430
  5. Step 5: Solve for x
    x = 221,201,687,430/780,030
  6. Step 6: Final answer
    x = 283,581

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.