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Finding the Fourth Proportional to 495,054.93, 742,463.46 and 228,559.53

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Solution

The fourth proportional to 495,054.93, 742,463.46 and 228,559.53 is: 342,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,054.93 : 742,463.46 = 228,559.53 : x
  2. Step 2: Convert to fraction form
    495,054.93/742,463.46 = 228,559.53/x
  3. Step 3: Cross multiply
    495,054.93x = 742,463.46 × 228,559.53
  4. Step 4: Simplify right side
    495,054.93x = 169,697,099,459.77
  5. Step 5: Solve for x
    x = 169,697,099,459.77/495,054.93
  6. Step 6: Final answer
    x = 342,784.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.