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Finding the Fourth Proportional to 713,805.47, 1,070,705.54 and 174,055.55

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Solution

The fourth proportional to 713,805.47, 1,070,705.54 and 174,055.55 is: 261,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,805.47 : 1,070,705.54 = 174,055.55 : x
  2. Step 2: Convert to fraction form
    713,805.47/1,070,705.54 = 174,055.55/x
  3. Step 3: Cross multiply
    713,805.47x = 1,070,705.54 × 174,055.55
  4. Step 4: Simplify right side
    713,805.47x = 186,362,235,428.94
  5. Step 5: Solve for x
    x = 186,362,235,428.94/713,805.47
  6. Step 6: Final answer
    x = 261,082.67

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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.