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Finding the Fourth Proportional to 413,813.81, 617,099.45 and 410,030.24

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Solution

The fourth proportional to 413,813.81, 617,099.45 and 410,030.24 is: 611,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,813.81 : 617,099.45 = 410,030.24 : x
  2. Step 2: Convert to fraction form
    413,813.81/617,099.45 = 410,030.24/x
  3. Step 3: Cross multiply
    413,813.81x = 617,099.45 × 410,030.24
  4. Step 4: Simplify right side
    413,813.81x = 253,029,430,451.72
  5. Step 5: Solve for x
    x = 253,029,430,451.72/413,813.81
  6. Step 6: Final answer
    x = 611,457.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.