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Finding the Fourth Proportional to 429,254.64, 592,398.32 and 238,271.24

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Solution

The fourth proportional to 429,254.64, 592,398.32 and 238,271.24 is: 328,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,254.64 : 592,398.32 = 238,271.24 : x
  2. Step 2: Convert to fraction form
    429,254.64/592,398.32 = 238,271.24/x
  3. Step 3: Cross multiply
    429,254.64x = 592,398.32 × 238,271.24
  4. Step 4: Simplify right side
    429,254.64x = 141,151,482,280.32
  5. Step 5: Solve for x
    x = 141,151,482,280.32/429,254.64
  6. Step 6: Final answer
    x = 328,829.25

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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.