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Finding the Fourth Proportional to 688,833, 1,032,268.10 and 507,492.22

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Solution

The fourth proportional to 688,833, 1,032,268.10 and 507,492.22 is: 760,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,833 : 1,032,268.10 = 507,492.22 : x
  2. Step 2: Convert to fraction form
    688,833/1,032,268.10 = 507,492.22/x
  3. Step 3: Cross multiply
    688,833x = 1,032,268.10 × 507,492.22
  4. Step 4: Simplify right side
    688,833x = 523,868,029,704.18
  5. Step 5: Solve for x
    x = 523,868,029,704.18/688,833
  6. Step 6: Final answer
    x = 760,515.29

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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.