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Finding the Fourth Proportional to 909,846, 1,255,587.48 and 507,438

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Solution

The fourth proportional to 909,846, 1,255,587.48 and 507,438 is: 700,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,846 : 1,255,587.48 = 507,438 : x
  2. Step 2: Convert to fraction form
    909,846/1,255,587.48 = 507,438/x
  3. Step 3: Cross multiply
    909,846x = 1,255,587.48 × 507,438
  4. Step 4: Simplify right side
    909,846x = 637,132,799,676.24
  5. Step 5: Solve for x
    x = 637,132,799,676.24/909,846
  6. Step 6: Final answer
    x = 700,264.44

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