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Finding the Fourth Proportional to 506,567.16, 759,851.63 and 207,047.48

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Solution

The fourth proportional to 506,567.16, 759,851.63 and 207,047.48 is: 310,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,567.16 : 759,851.63 = 207,047.48 : x
  2. Step 2: Convert to fraction form
    506,567.16/759,851.63 = 207,047.48/x
  3. Step 3: Cross multiply
    506,567.16x = 759,851.63 × 207,047.48
  4. Step 4: Simplify right side
    506,567.16x = 157,325,360,330.90
  5. Step 5: Solve for x
    x = 157,325,360,330.90/506,567.16
  6. Step 6: Final answer
    x = 310,571.57

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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.