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Finding the Fourth Proportional to 931,453, 1,285,405.14 and 507,517

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Solution

The fourth proportional to 931,453, 1,285,405.14 and 507,517 is: 700,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,453 : 1,285,405.14 = 507,517 : x
  2. Step 2: Convert to fraction form
    931,453/1,285,405.14 = 507,517/x
  3. Step 3: Cross multiply
    931,453x = 1,285,405.14 × 507,517
  4. Step 4: Simplify right side
    931,453x = 652,364,960,437.38
  5. Step 5: Solve for x
    x = 652,364,960,437.38/931,453
  6. Step 6: Final answer
    x = 700,373.46

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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.