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Finding the Fourth Proportional to 429,820.40, 593,117.16 and 257,776.40

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Solution

The fourth proportional to 429,820.40, 593,117.16 and 257,776.40 is: 355,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,820.40 : 593,117.16 = 257,776.40 : x
  2. Step 2: Convert to fraction form
    429,820.40/593,117.16 = 257,776.40/x
  3. Step 3: Cross multiply
    429,820.40x = 593,117.16 × 257,776.40
  4. Step 4: Simplify right side
    429,820.40x = 152,891,606,283.02
  5. Step 5: Solve for x
    x = 152,891,606,283.02/429,820.40
  6. Step 6: Final answer
    x = 355,710.45

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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.