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Finding the Fourth Proportional to 516,038.64, 712,130.52 and 289,684.08

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Solution

The fourth proportional to 516,038.64, 712,130.52 and 289,684.08 is: 399,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,038.64 : 712,130.52 = 289,684.08 : x
  2. Step 2: Convert to fraction form
    516,038.64/712,130.52 = 289,684.08/x
  3. Step 3: Cross multiply
    516,038.64x = 712,130.52 × 289,684.08
  4. Step 4: Simplify right side
    516,038.64x = 206,292,874,526.12
  5. Step 5: Solve for x
    x = 206,292,874,526.12/516,038.64
  6. Step 6: Final answer
    x = 399,762.46

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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.