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Finding the Fourth Proportional to 429,024.84, 592,070.18 and 259,226.12

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Solution

The fourth proportional to 429,024.84, 592,070.18 and 259,226.12 is: 357,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,024.84 : 592,070.18 = 259,226.12 : x
  2. Step 2: Convert to fraction form
    429,024.84/592,070.18 = 259,226.12/x
  3. Step 3: Cross multiply
    429,024.84x = 592,070.18 × 259,226.12
  4. Step 4: Simplify right side
    429,024.84x = 153,480,055,529.10
  5. Step 5: Solve for x
    x = 153,480,055,529.10/429,024.84
  6. Step 6: Final answer
    x = 357,741.65

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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.