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Finding the Fourth Proportional to 530,678.40, 794,804.93 and 416,566.46

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Solution

The fourth proportional to 530,678.40, 794,804.93 and 416,566.46 is: 623,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,678.40 : 794,804.93 = 416,566.46 : x
  2. Step 2: Convert to fraction form
    530,678.40/794,804.93 = 416,566.46/x
  3. Step 3: Cross multiply
    530,678.40x = 794,804.93 × 416,566.46
  4. Step 4: Simplify right side
    530,678.40x = 331,089,078,718.55
  5. Step 5: Solve for x
    x = 331,089,078,718.55/530,678.40
  6. Step 6: Final answer
    x = 623,897.78

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1.5x scale

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.