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Finding the Fourth Proportional to 719,847.38, 993,397.29 and 414,075.62

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Solution

The fourth proportional to 719,847.38, 993,397.29 and 414,075.62 is: 571,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,847.38 : 993,397.29 = 414,075.62 : x
  2. Step 2: Convert to fraction form
    719,847.38/993,397.29 = 414,075.62/x
  3. Step 3: Cross multiply
    719,847.38x = 993,397.29 × 414,075.62
  4. Step 4: Simplify right side
    719,847.38x = 411,341,598,763.07
  5. Step 5: Solve for x
    x = 411,341,598,763.07/719,847.38
  6. Step 6: Final answer
    x = 571,428.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.