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Finding the Fourth Proportional to 357,235.40, 535,952.64 and 291,298.16

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Solution

The fourth proportional to 357,235.40, 535,952.64 and 291,298.16 is: 437,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,235.40 : 535,952.64 = 291,298.16 : x
  2. Step 2: Convert to fraction form
    357,235.40/535,952.64 = 291,298.16/x
  3. Step 3: Cross multiply
    357,235.40x = 535,952.64 × 291,298.16
  4. Step 4: Simplify right side
    357,235.40x = 156,122,017,879.14
  5. Step 5: Solve for x
    x = 156,122,017,879.14/357,235.40
  6. Step 6: Final answer
    x = 437,028.41

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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.