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Finding the Fourth Proportional to 759,572, 1,139,360.48 and 286,130.24

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Solution

The fourth proportional to 759,572, 1,139,360.48 and 286,130.24 is: 429,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,572 : 1,139,360.48 = 286,130.24 : x
  2. Step 2: Convert to fraction form
    759,572/1,139,360.48 = 286,130.24/x
  3. Step 3: Cross multiply
    759,572x = 1,139,360.48 × 286,130.24
  4. Step 4: Simplify right side
    759,572x = 326,005,487,588.92
  5. Step 5: Solve for x
    x = 326,005,487,588.92/759,572
  6. Step 6: Final answer
    x = 429,196.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.