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Finding the Fourth Proportional to 530,531.80, 794,631.30 and 460,547.80

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Solution

The fourth proportional to 530,531.80, 794,631.30 and 460,547.80 is: 689,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,531.80 : 794,631.30 = 460,547.80 : x
  2. Step 2: Convert to fraction form
    530,531.80/794,631.30 = 460,547.80/x
  3. Step 3: Cross multiply
    530,531.80x = 794,631.30 × 460,547.80
  4. Step 4: Simplify right side
    530,531.80x = 365,965,697,026.14
  5. Step 5: Solve for x
    x = 365,965,697,026.14/530,531.80
  6. Step 6: Final answer
    x = 689,809.16

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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.