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Finding the Fourth Proportional to 565,420.64, 780,285.36 and 310,777.76

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Solution

The fourth proportional to 565,420.64, 780,285.36 and 310,777.76 is: 428,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,420.64 : 780,285.36 = 310,777.76 : x
  2. Step 2: Convert to fraction form
    565,420.64/780,285.36 = 310,777.76/x
  3. Step 3: Cross multiply
    565,420.64x = 780,285.36 × 310,777.76
  4. Step 4: Simplify right side
    565,420.64x = 242,495,336,341.59
  5. Step 5: Solve for x
    x = 242,495,336,341.59/565,420.64
  6. Step 6: Final answer
    x = 428,875.99

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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.