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Finding the Fourth Proportional to 758,312, 1,046,461.84 and 436,023.36

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Solution

The fourth proportional to 758,312, 1,046,461.84 and 436,023.36 is: 601,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,312 : 1,046,461.84 = 436,023.36 : x
  2. Step 2: Convert to fraction form
    758,312/1,046,461.84 = 436,023.36/x
  3. Step 3: Cross multiply
    758,312x = 1,046,461.84 × 436,023.36
  4. Step 4: Simplify right side
    758,312x = 456,281,807,588.58
  5. Step 5: Solve for x
    x = 456,281,807,588.58/758,312
  6. Step 6: Final answer
    x = 601,707.22

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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.