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Finding the Fourth Proportional to 614,606.10, 847,854.90 and 410,707.08

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Solution

The fourth proportional to 614,606.10, 847,854.90 and 410,707.08 is: 566,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,606.10 : 847,854.90 = 410,707.08 : x
  2. Step 2: Convert to fraction form
    614,606.10/847,854.90 = 410,707.08/x
  3. Step 3: Cross multiply
    614,606.10x = 847,854.90 × 410,707.08
  4. Step 4: Simplify right side
    614,606.10x = 348,220,010,242.69
  5. Step 5: Solve for x
    x = 348,220,010,242.69/614,606.10
  6. Step 6: Final answer
    x = 566,574.28

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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.