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Finding the Fourth Proportional to 576,457.22, 865,998 and 417,024.92

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Solution

The fourth proportional to 576,457.22, 865,998 and 417,024.92 is: 626,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,457.22 : 865,998 = 417,024.92 : x
  2. Step 2: Convert to fraction form
    576,457.22/865,998 = 417,024.92/x
  3. Step 3: Cross multiply
    576,457.22x = 865,998 × 417,024.92
  4. Step 4: Simplify right side
    576,457.22x = 361,142,746,670.16
  5. Step 5: Solve for x
    x = 361,142,746,670.16/576,457.22
  6. Step 6: Final answer
    x = 626,486.64

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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.