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Finding the Fourth Proportional to 519,445.71, 716,830.16 and 289,988.30

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Solution

The fourth proportional to 519,445.71, 716,830.16 and 289,988.30 is: 400,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,445.71 : 716,830.16 = 289,988.30 : x
  2. Step 2: Convert to fraction form
    519,445.71/716,830.16 = 289,988.30/x
  3. Step 3: Cross multiply
    519,445.71x = 716,830.16 × 289,988.30
  4. Step 4: Simplify right side
    519,445.71x = 207,872,359,829.26
  5. Step 5: Solve for x
    x = 207,872,359,829.26/519,445.71
  6. Step 6: Final answer
    x = 400,181.11

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1.5x scale

Why These Related Problems?

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