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Finding the Fourth Proportional to 507,386.85, 700,185 and 277,948.68

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Solution

The fourth proportional to 507,386.85, 700,185 and 277,948.68 is: 383,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,386.85 : 700,185 = 277,948.68 : x
  2. Step 2: Convert to fraction form
    507,386.85/700,185 = 277,948.68/x
  3. Step 3: Cross multiply
    507,386.85x = 700,185 × 277,948.68
  4. Step 4: Simplify right side
    507,386.85x = 194,615,496,505.80
  5. Step 5: Solve for x
    x = 194,615,496,505.80/507,386.85
  6. Step 6: Final answer
    x = 383,564.33

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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.