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Finding the Fourth Proportional to 522,457.50, 783,030.33 and 282,561.84

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Solution

The fourth proportional to 522,457.50, 783,030.33 and 282,561.84 is: 423,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,457.50 : 783,030.33 = 282,561.84 : x
  2. Step 2: Convert to fraction form
    522,457.50/783,030.33 = 282,561.84/x
  3. Step 3: Cross multiply
    522,457.50x = 783,030.33 × 282,561.84
  4. Step 4: Simplify right side
    522,457.50x = 221,254,490,820.61
  5. Step 5: Solve for x
    x = 221,254,490,820.61/522,457.50
  6. Step 6: Final answer
    x = 423,488.02

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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.