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Finding the Fourth Proportional to 433,429, 598,158.54 and 242,455.24

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Solution

The fourth proportional to 433,429, 598,158.54 and 242,455.24 is: 334,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,429 : 598,158.54 = 242,455.24 : x
  2. Step 2: Convert to fraction form
    433,429/598,158.54 = 242,455.24/x
  3. Step 3: Cross multiply
    433,429x = 598,158.54 × 242,455.24
  4. Step 4: Simplify right side
    433,429x = 145,026,672,373.75
  5. Step 5: Solve for x
    x = 145,026,672,373.75/433,429
  6. Step 6: Final answer
    x = 334,603.07

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