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Finding the Fourth Proportional to 713,032.12, 1,069,683.04 and 286,601.16

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Solution

The fourth proportional to 713,032.12, 1,069,683.04 and 286,601.16 is: 429,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,032.12 : 1,069,683.04 = 286,601.16 : x
  2. Step 2: Convert to fraction form
    713,032.12/1,069,683.04 = 286,601.16/x
  3. Step 3: Cross multiply
    713,032.12x = 1,069,683.04 × 286,601.16
  4. Step 4: Simplify right side
    713,032.12x = 306,572,400,096.33
  5. Step 5: Solve for x
    x = 306,572,400,096.33/713,032.12
  6. Step 6: Final answer
    x = 429,955.95

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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.