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Finding the Fourth Proportional to 357,643.80, 536,465.70 and 352,114.20

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Solution

The fourth proportional to 357,643.80, 536,465.70 and 352,114.20 is: 528,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,643.80 : 536,465.70 = 352,114.20 : x
  2. Step 2: Convert to fraction form
    357,643.80/536,465.70 = 352,114.20/x
  3. Step 3: Cross multiply
    357,643.80x = 536,465.70 × 352,114.20
  4. Step 4: Simplify right side
    357,643.80x = 188,897,190,782.94
  5. Step 5: Solve for x
    x = 188,897,190,782.94/357,643.80
  6. Step 6: Final answer
    x = 528,171.30

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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.