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Finding the Fourth Proportional to 710,411.60, 1,065,617.40 and 429,784.40

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Solution

The fourth proportional to 710,411.60, 1,065,617.40 and 429,784.40 is: 644,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,411.60 : 1,065,617.40 = 429,784.40 : x
  2. Step 2: Convert to fraction form
    710,411.60/1,065,617.40 = 429,784.40/x
  3. Step 3: Cross multiply
    710,411.60x = 1,065,617.40 × 429,784.40
  4. Step 4: Simplify right side
    710,411.60x = 457,985,734,888.56
  5. Step 5: Solve for x
    x = 457,985,734,888.56/710,411.60
  6. Step 6: Final answer
    x = 644,676.60

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