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Finding the Fourth Proportional to 427,707.84, 590,136.51 and 292,024.35

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Solution

The fourth proportional to 427,707.84, 590,136.51 and 292,024.35 is: 402,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,707.84 : 590,136.51 = 292,024.35 : x
  2. Step 2: Convert to fraction form
    427,707.84/590,136.51 = 292,024.35/x
  3. Step 3: Cross multiply
    427,707.84x = 590,136.51 × 292,024.35
  4. Step 4: Simplify right side
    427,707.84x = 172,334,230,744.02
  5. Step 5: Solve for x
    x = 172,334,230,744.02/427,707.84
  6. Step 6: Final answer
    x = 402,925.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.