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Finding the Fourth Proportional to 583,876.13, 805,443.12 and 507,223.13

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Solution

The fourth proportional to 583,876.13, 805,443.12 and 507,223.13 is: 699,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,876.13 : 805,443.12 = 507,223.13 : x
  2. Step 2: Convert to fraction form
    583,876.13/805,443.12 = 507,223.13/x
  3. Step 3: Cross multiply
    583,876.13x = 805,443.12 × 507,223.13
  4. Step 4: Simplify right side
    583,876.13x = 408,539,376,336.15
  5. Step 5: Solve for x
    x = 408,539,376,336.15/583,876.13
  6. Step 6: Final answer
    x = 699,702.14

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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.