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Finding the Fourth Proportional to 523,541.07, 786,492.59 and 313,326.63

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Solution

The fourth proportional to 523,541.07, 786,492.59 and 313,326.63 is: 470,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,541.07 : 786,492.59 = 313,326.63 : x
  2. Step 2: Convert to fraction form
    523,541.07/786,492.59 = 313,326.63/x
  3. Step 3: Cross multiply
    523,541.07x = 786,492.59 × 313,326.63
  4. Step 4: Simplify right side
    523,541.07x = 246,429,071,178.04
  5. Step 5: Solve for x
    x = 246,429,071,178.04/523,541.07
  6. Step 6: Final answer
    x = 470,696.73

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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.