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Finding the Fourth Proportional to 282,909.42, 390,407.20 and 155,585

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Solution

The fourth proportional to 282,909.42, 390,407.20 and 155,585 is: 214,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,909.42 : 390,407.20 = 155,585 : x
  2. Step 2: Convert to fraction form
    282,909.42/390,407.20 = 155,585/x
  3. Step 3: Cross multiply
    282,909.42x = 390,407.20 × 155,585
  4. Step 4: Simplify right side
    282,909.42x = 60,741,504,212
  5. Step 5: Solve for x
    x = 60,741,504,212/282,909.42
  6. Step 6: Final answer
    x = 214,703.01

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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.