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Finding the Fourth Proportional to 523,048.14, 783,823.68 and 297,943.74

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Solution

The fourth proportional to 523,048.14, 783,823.68 and 297,943.74 is: 446,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,048.14 : 783,823.68 = 297,943.74 : x
  2. Step 2: Convert to fraction form
    523,048.14/783,823.68 = 297,943.74/x
  3. Step 3: Cross multiply
    523,048.14x = 783,823.68 × 297,943.74
  4. Step 4: Simplify right side
    523,048.14x = 233,535,358,719.76
  5. Step 5: Solve for x
    x = 233,535,358,719.76/523,048.14
  6. Step 6: Final answer
    x = 446,489.23

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1.5x scale

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.