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Finding the Fourth Proportional to 429,416.48, 592,487.76 and 257,361.68

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Solution

The fourth proportional to 429,416.48, 592,487.76 and 257,361.68 is: 355,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,416.48 : 592,487.76 = 257,361.68 : x
  2. Step 2: Convert to fraction form
    429,416.48/592,487.76 = 257,361.68/x
  3. Step 3: Cross multiply
    429,416.48x = 592,487.76 × 257,361.68
  4. Step 4: Simplify right side
    429,416.48x = 152,483,645,293.04
  5. Step 5: Solve for x
    x = 152,483,645,293.04/429,416.48
  6. Step 6: Final answer
    x = 355,095.00

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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.