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Finding the Fourth Proportional to 523,048.32, 719,541.60 and 458,225.64

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Solution

The fourth proportional to 523,048.32, 719,541.60 and 458,225.64 is: 630,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,048.32 : 719,541.60 = 458,225.64 : x
  2. Step 2: Convert to fraction form
    523,048.32/719,541.60 = 458,225.64/x
  3. Step 3: Cross multiply
    523,048.32x = 719,541.60 × 458,225.64
  4. Step 4: Simplify right side
    523,048.32x = 329,712,410,166.62
  5. Step 5: Solve for x
    x = 329,712,410,166.62/523,048.32
  6. Step 6: Final answer
    x = 630,367.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.